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Finding the Fourth Proportional to 10,329.97, 14,254.78 and 5,614.22

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Solution

The fourth proportional to 10,329.97, 14,254.78 and 5,614.22 is: 7,747.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.97 : 14,254.78 = 5,614.22 : x
  2. Step 2: Convert to fraction form
    10,329.97/14,254.78 = 5,614.22/x
  3. Step 3: Cross multiply
    10,329.97x = 14,254.78 × 5,614.22
  4. Step 4: Simplify right side
    10,329.97x = 80,029,470.97
  5. Step 5: Solve for x
    x = 80,029,470.97/10,329.97
  6. Step 6: Final answer
    x = 7,747.31

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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.