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Finding the Fourth Proportional to 8,311.38, 12,467.07 and 2,468.04

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Solution

The fourth proportional to 8,311.38, 12,467.07 and 2,468.04 is: 3,702.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.38 : 12,467.07 = 2,468.04 : x
  2. Step 2: Convert to fraction form
    8,311.38/12,467.07 = 2,468.04/x
  3. Step 3: Cross multiply
    8,311.38x = 12,467.07 × 2,468.04
  4. Step 4: Simplify right side
    8,311.38x = 30,769,227.44
  5. Step 5: Solve for x
    x = 30,769,227.44/8,311.38
  6. Step 6: Final answer
    x = 3,702.06

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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.