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Finding the Fourth Proportional to 8,496.38, 12,728 and 5,565.80

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Solution

The fourth proportional to 8,496.38, 12,728 and 5,565.80 is: 8,337.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.38 : 12,728 = 5,565.80 : x
  2. Step 2: Convert to fraction form
    8,496.38/12,728 = 5,565.80/x
  3. Step 3: Cross multiply
    8,496.38x = 12,728 × 5,565.80
  4. Step 4: Simplify right side
    8,496.38x = 70,841,502.40
  5. Step 5: Solve for x
    x = 70,841,502.40/8,496.38
  6. Step 6: Final answer
    x = 8,337.85

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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.