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Finding the Fourth Proportional to 10,269.69, 14,172.17 and 5,553.97

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Solution

The fourth proportional to 10,269.69, 14,172.17 and 5,553.97 is: 7,664.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.69 : 14,172.17 = 5,553.97 : x
  2. Step 2: Convert to fraction form
    10,269.69/14,172.17 = 5,553.97/x
  3. Step 3: Cross multiply
    10,269.69x = 14,172.17 × 5,553.97
  4. Step 4: Simplify right side
    10,269.69x = 78,711,708.38
  5. Step 5: Solve for x
    x = 78,711,708.38/10,269.69
  6. Step 6: Final answer
    x = 7,664.47

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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.