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Finding the Fourth Proportional to 8,165.32, 12,231.50 and 5,385.12

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Solution

The fourth proportional to 8,165.32, 12,231.50 and 5,385.12 is: 8,066.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.32 : 12,231.50 = 5,385.12 : x
  2. Step 2: Convert to fraction form
    8,165.32/12,231.50 = 5,385.12/x
  3. Step 3: Cross multiply
    8,165.32x = 12,231.50 × 5,385.12
  4. Step 4: Simplify right side
    8,165.32x = 65,868,095.28
  5. Step 5: Solve for x
    x = 65,868,095.28/8,165.32
  6. Step 6: Final answer
    x = 8,066.81

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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.