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Finding the Fourth Proportional to 10,843.96, 16,287.72 and 6,469.96

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Solution

The fourth proportional to 10,843.96, 16,287.72 and 6,469.96 is: 9,717.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.96 : 16,287.72 = 6,469.96 : x
  2. Step 2: Convert to fraction form
    10,843.96/16,287.72 = 6,469.96/x
  3. Step 3: Cross multiply
    10,843.96x = 16,287.72 × 6,469.96
  4. Step 4: Simplify right side
    10,843.96x = 105,380,896.89
  5. Step 5: Solve for x
    x = 105,380,896.89/10,843.96
  6. Step 6: Final answer
    x = 9,717.93

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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.