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Finding the Fourth Proportional to 12,757.31, 17,605.69 and 7,092.15

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Solution

The fourth proportional to 12,757.31, 17,605.69 and 7,092.15 is: 9,787.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.31 : 17,605.69 = 7,092.15 : x
  2. Step 2: Convert to fraction form
    12,757.31/17,605.69 = 7,092.15/x
  3. Step 3: Cross multiply
    12,757.31x = 17,605.69 × 7,092.15
  4. Step 4: Simplify right side
    12,757.31x = 124,862,288.08
  5. Step 5: Solve for x
    x = 124,862,288.08/12,757.31
  6. Step 6: Final answer
    x = 9,787.51

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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.