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Finding the Fourth Proportional to 8,286.30, 12,431.49 and 6,808.02

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Solution

The fourth proportional to 8,286.30, 12,431.49 and 6,808.02 is: 10,213.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.30 : 12,431.49 = 6,808.02 : x
  2. Step 2: Convert to fraction form
    8,286.30/12,431.49 = 6,808.02/x
  3. Step 3: Cross multiply
    8,286.30x = 12,431.49 × 6,808.02
  4. Step 4: Simplify right side
    8,286.30x = 84,633,832.55
  5. Step 5: Solve for x
    x = 84,633,832.55/8,286.30
  6. Step 6: Final answer
    x = 10,213.71

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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.