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Finding the Fourth Proportional to 10,114.92, 15,171.90 and 3,542.58

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Solution

The fourth proportional to 10,114.92, 15,171.90 and 3,542.58 is: 5,313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.92 : 15,171.90 = 3,542.58 : x
  2. Step 2: Convert to fraction form
    10,114.92/15,171.90 = 3,542.58/x
  3. Step 3: Cross multiply
    10,114.92x = 15,171.90 × 3,542.58
  4. Step 4: Simplify right side
    10,114.92x = 53,747,669.50
  5. Step 5: Solve for x
    x = 53,747,669.50/10,114.92
  6. Step 6: Final answer
    x = 5,313.70

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Why These Related Problems?

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