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Finding the Fourth Proportional to 8,086.48, 12,123.24 and 5,002

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Solution

The fourth proportional to 8,086.48, 12,123.24 and 5,002 is: 7,498.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.48 : 12,123.24 = 5,002 : x
  2. Step 2: Convert to fraction form
    8,086.48/12,123.24 = 5,002/x
  3. Step 3: Cross multiply
    8,086.48x = 12,123.24 × 5,002
  4. Step 4: Simplify right side
    8,086.48x = 60,640,446.48
  5. Step 5: Solve for x
    x = 60,640,446.48/8,086.48
  6. Step 6: Final answer
    x = 7,498.99

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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.