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Finding the Fourth Proportional to 10,338.97, 15,502.29 and 7,011.31

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Solution

The fourth proportional to 10,338.97, 15,502.29 and 7,011.31 is: 10,512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.97 : 15,502.29 = 7,011.31 : x
  2. Step 2: Convert to fraction form
    10,338.97/15,502.29 = 7,011.31/x
  3. Step 3: Cross multiply
    10,338.97x = 15,502.29 × 7,011.31
  4. Step 4: Simplify right side
    10,338.97x = 108,691,360.90
  5. Step 5: Solve for x
    x = 108,691,360.90/10,338.97
  6. Step 6: Final answer
    x = 10,512.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.