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Finding the Fourth Proportional to 11,872.11, 16,382.98 and 6,494.46

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Solution

The fourth proportional to 11,872.11, 16,382.98 and 6,494.46 is: 8,962.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.11 : 16,382.98 = 6,494.46 : x
  2. Step 2: Convert to fraction form
    11,872.11/16,382.98 = 6,494.46/x
  3. Step 3: Cross multiply
    11,872.11x = 16,382.98 × 6,494.46
  4. Step 4: Simplify right side
    11,872.11x = 106,398,608.29
  5. Step 5: Solve for x
    x = 106,398,608.29/11,872.11
  6. Step 6: Final answer
    x = 8,962.06

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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.