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Finding the Fourth Proportional to 10,387.82, 14,335.72 and 5,912.21

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Solution

The fourth proportional to 10,387.82, 14,335.72 and 5,912.21 is: 8,159.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.82 : 14,335.72 = 5,912.21 : x
  2. Step 2: Convert to fraction form
    10,387.82/14,335.72 = 5,912.21/x
  3. Step 3: Cross multiply
    10,387.82x = 14,335.72 × 5,912.21
  4. Step 4: Simplify right side
    10,387.82x = 84,755,787.14
  5. Step 5: Solve for x
    x = 84,755,787.14/10,387.82
  6. Step 6: Final answer
    x = 8,159.15

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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.