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Finding the Fourth Proportional to 11,700.09, 16,139.75 and 7,508.97

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Solution

The fourth proportional to 11,700.09, 16,139.75 and 7,508.97 is: 10,358.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.09 : 16,139.75 = 7,508.97 : x
  2. Step 2: Convert to fraction form
    11,700.09/16,139.75 = 7,508.97/x
  3. Step 3: Cross multiply
    11,700.09x = 16,139.75 × 7,508.97
  4. Step 4: Simplify right side
    11,700.09x = 121,192,861.01
  5. Step 5: Solve for x
    x = 121,192,861.01/11,700.09
  6. Step 6: Final answer
    x = 10,358.28

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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.