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Finding the Fourth Proportional to 10,502.28, 15,757.24 and 4,882.54

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Solution

The fourth proportional to 10,502.28, 15,757.24 and 4,882.54 is: 7,325.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.28 : 15,757.24 = 4,882.54 : x
  2. Step 2: Convert to fraction form
    10,502.28/15,757.24 = 4,882.54/x
  3. Step 3: Cross multiply
    10,502.28x = 15,757.24 × 4,882.54
  4. Step 4: Simplify right side
    10,502.28x = 76,935,354.59
  5. Step 5: Solve for x
    x = 76,935,354.59/10,502.28
  6. Step 6: Final answer
    x = 7,325.59

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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.