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Finding the Fourth Proportional to 10,947.44, 16,429.17 and 4,375.55

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Solution

The fourth proportional to 10,947.44, 16,429.17 and 4,375.55 is: 6,566.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947.44 : 16,429.17 = 4,375.55 : x
  2. Step 2: Convert to fraction form
    10,947.44/16,429.17 = 4,375.55/x
  3. Step 3: Cross multiply
    10,947.44x = 16,429.17 × 4,375.55
  4. Step 4: Simplify right side
    10,947.44x = 71,886,654.79
  5. Step 5: Solve for x
    x = 71,886,654.79/10,947.44
  6. Step 6: Final answer
    x = 6,566.53

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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.