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Finding the Fourth Proportional to 10,570.69, 14,593.53 and 7,218.37

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Solution

The fourth proportional to 10,570.69, 14,593.53 and 7,218.37 is: 9,965.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.69 : 14,593.53 = 7,218.37 : x
  2. Step 2: Convert to fraction form
    10,570.69/14,593.53 = 7,218.37/x
  3. Step 3: Cross multiply
    10,570.69x = 14,593.53 × 7,218.37
  4. Step 4: Simplify right side
    10,570.69x = 105,341,499.15
  5. Step 5: Solve for x
    x = 105,341,499.15/10,570.69
  6. Step 6: Final answer
    x = 9,965.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.