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Finding the Fourth Proportional to 8,251.68, 11,387.61 and 5,899.44

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Solution

The fourth proportional to 8,251.68, 11,387.61 and 5,899.44 is: 8,141.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.68 : 11,387.61 = 5,899.44 : x
  2. Step 2: Convert to fraction form
    8,251.68/11,387.61 = 5,899.44/x
  3. Step 3: Cross multiply
    8,251.68x = 11,387.61 × 5,899.44
  4. Step 4: Simplify right side
    8,251.68x = 67,180,521.94
  5. Step 5: Solve for x
    x = 67,180,521.94/8,251.68
  6. Step 6: Final answer
    x = 8,141.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.