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Finding the Fourth Proportional to 8,311.62, 12,469.48 and 2,468.22

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Solution

The fourth proportional to 8,311.62, 12,469.48 and 2,468.22 is: 3,702.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.62 : 12,469.48 = 2,468.22 : x
  2. Step 2: Convert to fraction form
    8,311.62/12,469.48 = 2,468.22/x
  3. Step 3: Cross multiply
    8,311.62x = 12,469.48 × 2,468.22
  4. Step 4: Simplify right side
    8,311.62x = 30,777,419.93
  5. Step 5: Solve for x
    x = 30,777,419.93/8,311.62
  6. Step 6: Final answer
    x = 3,702.94

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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.