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Finding the Fourth Proportional to 8,767.20, 12,037.56 and 8,538.87

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Solution

The fourth proportional to 8,767.20, 12,037.56 and 8,538.87 is: 11,724.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,767.20 : 12,037.56 = 8,538.87 : x
  2. Step 2: Convert to fraction form
    8,767.20/12,037.56 = 8,538.87/x
  3. Step 3: Cross multiply
    8,767.20x = 12,037.56 × 8,538.87
  4. Step 4: Simplify right side
    8,767.20x = 102,787,159.96
  5. Step 5: Solve for x
    x = 102,787,159.96/8,767.20
  6. Step 6: Final answer
    x = 11,724.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.