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Finding the Fourth Proportional to 10,469.69, 14,447.99 and 5,753.87

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Solution

The fourth proportional to 10,469.69, 14,447.99 and 5,753.87 is: 7,940.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.69 : 14,447.99 = 5,753.87 : x
  2. Step 2: Convert to fraction form
    10,469.69/14,447.99 = 5,753.87/x
  3. Step 3: Cross multiply
    10,469.69x = 14,447.99 × 5,753.87
  4. Step 4: Simplify right side
    10,469.69x = 83,131,755.21
  5. Step 5: Solve for x
    x = 83,131,755.21/10,469.69
  6. Step 6: Final answer
    x = 7,940.23

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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.