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Finding the Fourth Proportional to 8,614.08, 12,921.12 and 2,458.08

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Solution

The fourth proportional to 8,614.08, 12,921.12 and 2,458.08 is: 3,687.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.08 : 12,921.12 = 2,458.08 : x
  2. Step 2: Convert to fraction form
    8,614.08/12,921.12 = 2,458.08/x
  3. Step 3: Cross multiply
    8,614.08x = 12,921.12 × 2,458.08
  4. Step 4: Simplify right side
    8,614.08x = 31,761,146.65
  5. Step 5: Solve for x
    x = 31,761,146.65/8,614.08
  6. Step 6: Final answer
    x = 3,687.12

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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.