Since 1900, the Audubon Society has conducted an annual Christmas bird count, documenting the number of birds of each species seen in locations across the country. In the 2011 Christmas bird count, there were 3,813 red-tailed hawks seen and counted in Texas. In the 2012 count, there were 4,511 red-tailed hawks counted in Texas. Calculate the growth rate by dividing the difference in the numbers seen in the two years by the number seen in 2011. Then use this value to calculate the estimated population of red-tailed hawks in Texas in 2022, if the growth rate remains constant.