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Finding the Fourth Proportional to 10,512.31, 14,512.62 and 8,238.97

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Solution

The fourth proportional to 10,512.31, 14,512.62 and 8,238.97 is: 11,374.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.31 : 14,512.62 = 8,238.97 : x
  2. Step 2: Convert to fraction form
    10,512.31/14,512.62 = 8,238.97/x
  3. Step 3: Cross multiply
    10,512.31x = 14,512.62 × 8,238.97
  4. Step 4: Simplify right side
    10,512.31x = 119,569,040.80
  5. Step 5: Solve for x
    x = 119,569,040.80/10,512.31
  6. Step 6: Final answer
    x = 11,374.19

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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.