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Finding the Fourth Proportional to 8,176.60, 12,245.40 and 6,874.12

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Solution

The fourth proportional to 8,176.60, 12,245.40 and 6,874.12 is: 10,294.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.60 : 12,245.40 = 6,874.12 : x
  2. Step 2: Convert to fraction form
    8,176.60/12,245.40 = 6,874.12/x
  3. Step 3: Cross multiply
    8,176.60x = 12,245.40 × 6,874.12
  4. Step 4: Simplify right side
    8,176.60x = 84,176,349.05
  5. Step 5: Solve for x
    x = 84,176,349.05/8,176.60
  6. Step 6: Final answer
    x = 10,294.79

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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.