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Finding the Fourth Proportional to 8,165.34, 12,231.48 and 5,385.12

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Solution

The fourth proportional to 8,165.34, 12,231.48 and 5,385.12 is: 8,066.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.34 : 12,231.48 = 5,385.12 : x
  2. Step 2: Convert to fraction form
    8,165.34/12,231.48 = 5,385.12/x
  3. Step 3: Cross multiply
    8,165.34x = 12,231.48 × 5,385.12
  4. Step 4: Simplify right side
    8,165.34x = 65,867,987.58
  5. Step 5: Solve for x
    x = 65,867,987.58/8,165.34
  6. Step 6: Final answer
    x = 8,066.78

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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.