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Finding the Fourth Proportional to 8,385.62, 12,580.37 and 2,462.27

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Solution

The fourth proportional to 8,385.62, 12,580.37 and 2,462.27 is: 3,693.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.62 : 12,580.37 = 2,462.27 : x
  2. Step 2: Convert to fraction form
    8,385.62/12,580.37 = 2,462.27/x
  3. Step 3: Cross multiply
    8,385.62x = 12,580.37 × 2,462.27
  4. Step 4: Simplify right side
    8,385.62x = 30,976,192.43
  5. Step 5: Solve for x
    x = 30,976,192.43/8,385.62
  6. Step 6: Final answer
    x = 3,693.97

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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.