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Finding the Fourth Proportional to 8,657.38, 12,997.61 and 5,855.64

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Solution

The fourth proportional to 8,657.38, 12,997.61 and 5,855.64 is: 8,791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.38 : 12,997.61 = 5,855.64 : x
  2. Step 2: Convert to fraction form
    8,657.38/12,997.61 = 5,855.64/x
  3. Step 3: Cross multiply
    8,657.38x = 12,997.61 × 5,855.64
  4. Step 4: Simplify right side
    8,657.38x = 76,109,325.02
  5. Step 5: Solve for x
    x = 76,109,325.02/8,657.38
  6. Step 6: Final answer
    x = 8,791.27

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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.