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Finding the Fourth Proportional to 10,717.65, 14,791.14 and 6,469.75

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Solution

The fourth proportional to 10,717.65, 14,791.14 and 6,469.75 is: 8,928.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.65 : 14,791.14 = 6,469.75 : x
  2. Step 2: Convert to fraction form
    10,717.65/14,791.14 = 6,469.75/x
  3. Step 3: Cross multiply
    10,717.65x = 14,791.14 × 6,469.75
  4. Step 4: Simplify right side
    10,717.65x = 95,694,996.50
  5. Step 5: Solve for x
    x = 95,694,996.50/10,717.65
  6. Step 6: Final answer
    x = 8,928.73

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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.