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Finding the Fourth Proportional to 10,469.68, 14,447.99 and 5,753.86

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Solution

The fourth proportional to 10,469.68, 14,447.99 and 5,753.86 is: 7,940.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.68 : 14,447.99 = 5,753.86 : x
  2. Step 2: Convert to fraction form
    10,469.68/14,447.99 = 5,753.86/x
  3. Step 3: Cross multiply
    10,469.68x = 14,447.99 × 5,753.86
  4. Step 4: Simplify right side
    10,469.68x = 83,131,711.74
  5. Step 5: Solve for x
    x = 83,131,711.74/10,469.68
  6. Step 6: Final answer
    x = 7,940.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.