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Finding the Fourth Proportional to 8,181.34, 12,270.79 and 2,986

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Solution

The fourth proportional to 8,181.34, 12,270.79 and 2,986 is: 4,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.34 : 12,270.79 = 2,986 : x
  2. Step 2: Convert to fraction form
    8,181.34/12,270.79 = 2,986/x
  3. Step 3: Cross multiply
    8,181.34x = 12,270.79 × 2,986
  4. Step 4: Simplify right side
    8,181.34x = 36,640,578.94
  5. Step 5: Solve for x
    x = 36,640,578.94/8,181.34
  6. Step 6: Final answer
    x = 4,478.55

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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.