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Finding the Fourth Proportional to 8,647.78, 11,917.29 and 6,286.18

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Solution

The fourth proportional to 8,647.78, 11,917.29 and 6,286.18 is: 8,662.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647.78 : 11,917.29 = 6,286.18 : x
  2. Step 2: Convert to fraction form
    8,647.78/11,917.29 = 6,286.18/x
  3. Step 3: Cross multiply
    8,647.78x = 11,917.29 × 6,286.18
  4. Step 4: Simplify right side
    8,647.78x = 74,914,230.05
  5. Step 5: Solve for x
    x = 74,914,230.05/8,647.78
  6. Step 6: Final answer
    x = 8,662.83

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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.