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Finding the Fourth Proportional to 7,542.57, 10,401.92 and 4,710.20

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Solution

The fourth proportional to 7,542.57, 10,401.92 and 4,710.20 is: 6,495.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.57 : 10,401.92 = 4,710.20 : x
  2. Step 2: Convert to fraction form
    7,542.57/10,401.92 = 4,710.20/x
  3. Step 3: Cross multiply
    7,542.57x = 10,401.92 × 4,710.20
  4. Step 4: Simplify right side
    7,542.57x = 48,995,123.58
  5. Step 5: Solve for x
    x = 48,995,123.58/7,542.57
  6. Step 6: Final answer
    x = 6,495.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.