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Finding the Fourth Proportional to 10,382.31, 15,558.89 and 5,993.73

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Solution

The fourth proportional to 10,382.31, 15,558.89 and 5,993.73 is: 8,982.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.31 : 15,558.89 = 5,993.73 : x
  2. Step 2: Convert to fraction form
    10,382.31/15,558.89 = 5,993.73/x
  3. Step 3: Cross multiply
    10,382.31x = 15,558.89 × 5,993.73
  4. Step 4: Simplify right side
    10,382.31x = 93,255,755.79
  5. Step 5: Solve for x
    x = 93,255,755.79/10,382.31
  6. Step 6: Final answer
    x = 8,982.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.