It's worth asking...
Are you changing your screen? Do you currently have a 16:9, 16:10, or 4:3 aspect ratio screen? Since your existing projector is 4:3 aspect ratio, I'm under the assumption that it was paired with a 4:3 aspect ratio 185" diagonal screen.
So, the projector class you are considering is 16:10 aspect ratio. Most of these can use a 16:9 or a 16:10 screen just fine. If using a 4:3 screen, there will be black bars below/above the image for unused screen space.
If you are happy with the brightness you were getting from the Sharp projector, which is listed at only 3,300 lumens, then you will likely be very happy with the brightness that newer projectors deliver.
Your screen size is 114 square feet (4:3 / 185" diagonal), which would call for a projector MUCH brighter than what you are currently using.
With 148" of width, and 111" of height, it is the 148" width you would need to fill from a 60' throw distance.
This is the list:
About a dozen options under $10,000 available, and I have no issues recommending the first projector from that list:
You will need the ET-ELT21 lens to make it work properly.
This is the low cost solution which meets your requirements and should deliver a good improvement in overall brightness to the projection system.