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Finding the Fourth Proportional to 10,872.73, 16,311.84 and 3,081.61

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Solution

The fourth proportional to 10,872.73, 16,311.84 and 3,081.61 is: 4,623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.73 : 16,311.84 = 3,081.61 : x
  2. Step 2: Convert to fraction form
    10,872.73/16,311.84 = 3,081.61/x
  3. Step 3: Cross multiply
    10,872.73x = 16,311.84 × 3,081.61
  4. Step 4: Simplify right side
    10,872.73x = 50,266,729.26
  5. Step 5: Solve for x
    x = 50,266,729.26/10,872.73
  6. Step 6: Final answer
    x = 4,623.19

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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.