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Finding the Fourth Proportional to 10,872.87, 16,281.62 and 7,163.86

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Solution

The fourth proportional to 10,872.87, 16,281.62 and 7,163.86 is: 10,727.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.87 : 16,281.62 = 7,163.86 : x
  2. Step 2: Convert to fraction form
    10,872.87/16,281.62 = 7,163.86/x
  3. Step 3: Cross multiply
    10,872.87x = 16,281.62 × 7,163.86
  4. Step 4: Simplify right side
    10,872.87x = 116,639,282.99
  5. Step 5: Solve for x
    x = 116,639,282.99/10,872.87
  6. Step 6: Final answer
    x = 10,727.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.