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Finding the Fourth Proportional to 8,679.27, 11,974.10 and 6,416.05

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Solution

The fourth proportional to 8,679.27, 11,974.10 and 6,416.05 is: 8,851.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,679.27 : 11,974.10 = 6,416.05 : x
  2. Step 2: Convert to fraction form
    8,679.27/11,974.10 = 6,416.05/x
  3. Step 3: Cross multiply
    8,679.27x = 11,974.10 × 6,416.05
  4. Step 4: Simplify right side
    8,679.27x = 76,826,366.10
  5. Step 5: Solve for x
    x = 76,826,366.10/8,679.27
  6. Step 6: Final answer
    x = 8,851.71

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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.