That seems very high for just 10 days! But peak season says it all.
Use discount codes, avoid packages, log on to the airlines' websites. Take a few hours searching, you'll save thousands easily!
I spent way less than 3,500 on an 8 day visit which included one adult and two children, off site visit, car rental, NASA (2 times, a launch had been rescheduled), Universal (buy one day, return anytime during the week), Disney, Believe it or not museum and even the Belz outlets!
It is all in the planning and scooping out discounts and offers from everywhere!
Wanda