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Finding the Fourth Proportional to 10,342.71, 14,273.25 and 5,627.31

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Solution

The fourth proportional to 10,342.71, 14,273.25 and 5,627.31 is: 7,765.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.71 : 14,273.25 = 5,627.31 : x
  2. Step 2: Convert to fraction form
    10,342.71/14,273.25 = 5,627.31/x
  3. Step 3: Cross multiply
    10,342.71x = 14,273.25 × 5,627.31
  4. Step 4: Simplify right side
    10,342.71x = 80,320,002.46
  5. Step 5: Solve for x
    x = 80,320,002.46/10,342.71
  6. Step 6: Final answer
    x = 7,765.86

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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.