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Finding the Fourth Proportional to 11,871.41, 16,382.52 and 6,493.86

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Solution

The fourth proportional to 11,871.41, 16,382.52 and 6,493.86 is: 8,961.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.41 : 16,382.52 = 6,493.86 : x
  2. Step 2: Convert to fraction form
    11,871.41/16,382.52 = 6,493.86/x
  3. Step 3: Cross multiply
    11,871.41x = 16,382.52 × 6,493.86
  4. Step 4: Simplify right side
    11,871.41x = 106,385,791.33
  5. Step 5: Solve for x
    x = 106,385,791.33/11,871.41
  6. Step 6: Final answer
    x = 8,961.52

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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.