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Finding the Fourth Proportional to 10,092.25, 13,927.31 and 5,901.31

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Solution

The fourth proportional to 10,092.25, 13,927.31 and 5,901.31 is: 8,143.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.25 : 13,927.31 = 5,901.31 : x
  2. Step 2: Convert to fraction form
    10,092.25/13,927.31 = 5,901.31/x
  3. Step 3: Cross multiply
    10,092.25x = 13,927.31 × 5,901.31
  4. Step 4: Simplify right side
    10,092.25x = 82,189,373.78
  5. Step 5: Solve for x
    x = 82,189,373.78/10,092.25
  6. Step 6: Final answer
    x = 8,143.81

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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.