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Finding the Fourth Proportional to 10,729.53, 14,804.34 and 6,481.29

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Solution

The fourth proportional to 10,729.53, 14,804.34 and 6,481.29 is: 8,942.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.53 : 14,804.34 = 6,481.29 : x
  2. Step 2: Convert to fraction form
    10,729.53/14,804.34 = 6,481.29/x
  3. Step 3: Cross multiply
    10,729.53x = 14,804.34 × 6,481.29
  4. Step 4: Simplify right side
    10,729.53x = 95,951,220.80
  5. Step 5: Solve for x
    x = 95,951,220.80/10,729.53
  6. Step 6: Final answer
    x = 8,942.72

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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.