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Finding the Fourth Proportional to 8,410.38, 12,616.23 and 2,567.04

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Solution

The fourth proportional to 8,410.38, 12,616.23 and 2,567.04 is: 3,850.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.38 : 12,616.23 = 2,567.04 : x
  2. Step 2: Convert to fraction form
    8,410.38/12,616.23 = 2,567.04/x
  3. Step 3: Cross multiply
    8,410.38x = 12,616.23 × 2,567.04
  4. Step 4: Simplify right side
    8,410.38x = 32,386,367.06
  5. Step 5: Solve for x
    x = 32,386,367.06/8,410.38
  6. Step 6: Final answer
    x = 3,850.76

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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.