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Finding the Fourth Proportional to 8,656.38, 12,996.11 and 5,854.64

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Solution

The fourth proportional to 8,656.38, 12,996.11 and 5,854.64 is: 8,789.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.38 : 12,996.11 = 5,854.64 : x
  2. Step 2: Convert to fraction form
    8,656.38/12,996.11 = 5,854.64/x
  3. Step 3: Cross multiply
    8,656.38x = 12,996.11 × 5,854.64
  4. Step 4: Simplify right side
    8,656.38x = 76,087,451.20
  5. Step 5: Solve for x
    x = 76,087,451.20/8,656.38
  6. Step 6: Final answer
    x = 8,789.75

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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.