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Finding the Fourth Proportional to 11,877.88, 16,363.60 and 8,286.28

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Solution

The fourth proportional to 11,877.88, 16,363.60 and 8,286.28 is: 11,415.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.88 : 16,363.60 = 8,286.28 : x
  2. Step 2: Convert to fraction form
    11,877.88/16,363.60 = 8,286.28/x
  3. Step 3: Cross multiply
    11,877.88x = 16,363.60 × 8,286.28
  4. Step 4: Simplify right side
    11,877.88x = 135,593,371.41
  5. Step 5: Solve for x
    x = 135,593,371.41/11,877.88
  6. Step 6: Final answer
    x = 11,415.62

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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.