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Finding the Fourth Proportional to 8,186.92, 12,281.60 and 2,638.44

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Solution

The fourth proportional to 8,186.92, 12,281.60 and 2,638.44 is: 3,958.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.92 : 12,281.60 = 2,638.44 : x
  2. Step 2: Convert to fraction form
    8,186.92/12,281.60 = 2,638.44/x
  3. Step 3: Cross multiply
    8,186.92x = 12,281.60 × 2,638.44
  4. Step 4: Simplify right side
    8,186.92x = 32,404,264.70
  5. Step 5: Solve for x
    x = 32,404,264.70/8,186.92
  6. Step 6: Final answer
    x = 3,958.05

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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.