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Finding the Fourth Proportional to 10,472.14, 15,710.51 and 3,451.87

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Solution

The fourth proportional to 10,472.14, 15,710.51 and 3,451.87 is: 5,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.14 : 15,710.51 = 3,451.87 : x
  2. Step 2: Convert to fraction form
    10,472.14/15,710.51 = 3,451.87/x
  3. Step 3: Cross multiply
    10,472.14x = 15,710.51 × 3,451.87
  4. Step 4: Simplify right side
    10,472.14x = 54,230,638.15
  5. Step 5: Solve for x
    x = 54,230,638.15/10,472.14
  6. Step 6: Final answer
    x = 5,178.56

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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.