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Finding the Fourth Proportional to 11,867.29, 16,378.84 and 8,037.20

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Solution

The fourth proportional to 11,867.29, 16,378.84 and 8,037.20 is: 11,092.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.29 : 16,378.84 = 8,037.20 : x
  2. Step 2: Convert to fraction form
    11,867.29/16,378.84 = 8,037.20/x
  3. Step 3: Cross multiply
    11,867.29x = 16,378.84 × 8,037.20
  4. Step 4: Simplify right side
    11,867.29x = 131,639,972.66
  5. Step 5: Solve for x
    x = 131,639,972.66/11,867.29
  6. Step 6: Final answer
    x = 11,092.68

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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.