By City A.M. Reporter UK housebuilders are set to shed light on the state of the fragile property market amid a number of key updates from firms next week. Shareholders are braced to see accounts for Persimmon, Berkeley and Vistry all show a fall in sales numbers after higher interest rates weighed heavily on activity last year. Interest rates rose to a 15-year high of 5.25% last year and millions of homeowners have been faced with higher mortgage rates as a result. Housing firm shares were knocked as a consequence, but saw a slight renewal of fortunes over the past six months, buoyed by impro…