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Finding the Fourth Proportional to 8,217.82, 11,350.02 and 5,989.65

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Solution

The fourth proportional to 8,217.82, 11,350.02 and 5,989.65 is: 8,272.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.82 : 11,350.02 = 5,989.65 : x
  2. Step 2: Convert to fraction form
    8,217.82/11,350.02 = 5,989.65/x
  3. Step 3: Cross multiply
    8,217.82x = 11,350.02 × 5,989.65
  4. Step 4: Simplify right side
    8,217.82x = 67,982,647.29
  5. Step 5: Solve for x
    x = 67,982,647.29/8,217.82
  6. Step 6: Final answer
    x = 8,272.59

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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.