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Finding the Fourth Proportional to 8,194.50, 12,291.82 and 2,647.85

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Solution

The fourth proportional to 8,194.50, 12,291.82 and 2,647.85 is: 3,971.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.50 : 12,291.82 = 2,647.85 : x
  2. Step 2: Convert to fraction form
    8,194.50/12,291.82 = 2,647.85/x
  3. Step 3: Cross multiply
    8,194.50x = 12,291.82 × 2,647.85
  4. Step 4: Simplify right side
    8,194.50x = 32,546,837.44
  5. Step 5: Solve for x
    x = 32,546,837.44/8,194.50
  6. Step 6: Final answer
    x = 3,971.79

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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.