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Finding the Fourth Proportional to 11,871.12, 16,382.59 and 6,493.92

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Solution

The fourth proportional to 11,871.12, 16,382.59 and 6,493.92 is: 8,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.12 : 16,382.59 = 6,493.92 : x
  2. Step 2: Convert to fraction form
    11,871.12/16,382.59 = 6,493.92/x
  3. Step 3: Cross multiply
    11,871.12x = 16,382.59 × 6,493.92
  4. Step 4: Simplify right side
    11,871.12x = 106,387,243.34
  5. Step 5: Solve for x
    x = 106,387,243.34/11,871.12
  6. Step 6: Final answer
    x = 8,961.85

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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.