The following claim data were generated from a Pareto distribution:

$130,20,350,218,1,822$

For integer k

$,$ the k

th moment of a Pareto distribution with parameters $\backslash$alpha

and $\backslash$theta

is

$\backslash$theta kk$!(\backslash$alpha $1)(\backslash$alpha $2)...(\backslash$alpha $$k$)$

Using the method of moments, determine the estimate of $\backslash$theta

$.$