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Finding the Fourth Proportional to 8,181.88, 12,265.36 and 2,984.12

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Solution

The fourth proportional to 8,181.88, 12,265.36 and 2,984.12 is: 4,473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.88 : 12,265.36 = 2,984.12 : x
  2. Step 2: Convert to fraction form
    8,181.88/12,265.36 = 2,984.12/x
  3. Step 3: Cross multiply
    8,181.88x = 12,265.36 × 2,984.12
  4. Step 4: Simplify right side
    8,181.88x = 36,601,306.08
  5. Step 5: Solve for x
    x = 36,601,306.08/8,181.88
  6. Step 6: Final answer
    x = 4,473.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.