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Finding the Fourth Proportional to 8,314.79, 12,463.98 and 3,387.89

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Solution

The fourth proportional to 8,314.79, 12,463.98 and 3,387.89 is: 5,078.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.79 : 12,463.98 = 3,387.89 : x
  2. Step 2: Convert to fraction form
    8,314.79/12,463.98 = 3,387.89/x
  3. Step 3: Cross multiply
    8,314.79x = 12,463.98 × 3,387.89
  4. Step 4: Simplify right side
    8,314.79x = 42,226,593.20
  5. Step 5: Solve for x
    x = 42,226,593.20/8,314.79
  6. Step 6: Final answer
    x = 5,078.49

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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.