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Finding the Fourth Proportional to 8,519.68, 11,753.88 and 6,286.92

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Solution

The fourth proportional to 8,519.68, 11,753.88 and 6,286.92 is: 8,673.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.68 : 11,753.88 = 6,286.92 : x
  2. Step 2: Convert to fraction form
    8,519.68/11,753.88 = 6,286.92/x
  3. Step 3: Cross multiply
    8,519.68x = 11,753.88 × 6,286.92
  4. Step 4: Simplify right side
    8,519.68x = 73,895,703.25
  5. Step 5: Solve for x
    x = 73,895,703.25/8,519.68
  6. Step 6: Final answer
    x = 8,673.53

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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.