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Finding the Fourth Proportional to 8,257.28, 12,379.50 and 5,617.88

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Solution

The fourth proportional to 8,257.28, 12,379.50 and 5,617.88 is: 8,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.28 : 12,379.50 = 5,617.88 : x
  2. Step 2: Convert to fraction form
    8,257.28/12,379.50 = 5,617.88/x
  3. Step 3: Cross multiply
    8,257.28x = 12,379.50 × 5,617.88
  4. Step 4: Simplify right side
    8,257.28x = 69,546,545.46
  5. Step 5: Solve for x
    x = 69,546,545.46/8,257.28
  6. Step 6: Final answer
    x = 8,422.45

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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.