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Finding the Fourth Proportional to 8,614.15, 12,920.92 and 2,458.15

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Solution

The fourth proportional to 8,614.15, 12,920.92 and 2,458.15 is: 3,687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.15 : 12,920.92 = 2,458.15 : x
  2. Step 2: Convert to fraction form
    8,614.15/12,920.92 = 2,458.15/x
  3. Step 3: Cross multiply
    8,614.15x = 12,920.92 × 2,458.15
  4. Step 4: Simplify right side
    8,614.15x = 31,761,559.50
  5. Step 5: Solve for x
    x = 31,761,559.50/8,614.15
  6. Step 6: Final answer
    x = 3,687.14

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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.