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Finding the Fourth Proportional to 10,469.39, 14,447.79 and 5,753.98

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Solution

The fourth proportional to 10,469.39, 14,447.79 and 5,753.98 is: 7,940.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.39 : 14,447.79 = 5,753.98 : x
  2. Step 2: Convert to fraction form
    10,469.39/14,447.79 = 5,753.98/x
  3. Step 3: Cross multiply
    10,469.39x = 14,447.79 × 5,753.98
  4. Step 4: Simplify right side
    10,469.39x = 83,132,294.70
  5. Step 5: Solve for x
    x = 83,132,294.70/10,469.39
  6. Step 6: Final answer
    x = 7,940.51

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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.