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Finding the Fourth Proportional to 8,009.87, 11,996.33 and 5,546.43

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Solution

The fourth proportional to 8,009.87, 11,996.33 and 5,546.43 is: 8,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.87 : 11,996.33 = 5,546.43 : x
  2. Step 2: Convert to fraction form
    8,009.87/11,996.33 = 5,546.43/x
  3. Step 3: Cross multiply
    8,009.87x = 11,996.33 × 5,546.43
  4. Step 4: Simplify right side
    8,009.87x = 66,536,776.87
  5. Step 5: Solve for x
    x = 66,536,776.87/8,009.87
  6. Step 6: Final answer
    x = 8,306.85

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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.