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Finding the Fourth Proportional to 10,471.52, 15,709.58 and 3,451.25

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Solution

The fourth proportional to 10,471.52, 15,709.58 and 3,451.25 is: 5,177.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.52 : 15,709.58 = 3,451.25 : x
  2. Step 2: Convert to fraction form
    10,471.52/15,709.58 = 3,451.25/x
  3. Step 3: Cross multiply
    10,471.52x = 15,709.58 × 3,451.25
  4. Step 4: Simplify right side
    10,471.52x = 54,217,592.17
  5. Step 5: Solve for x
    x = 54,217,592.17/10,471.52
  6. Step 6: Final answer
    x = 5,177.63

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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.