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Finding the Fourth Proportional to 8,162.24, 12,236.86 and 3,542

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Solution

The fourth proportional to 8,162.24, 12,236.86 and 3,542 is: 5,310.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.24 : 12,236.86 = 3,542 : x
  2. Step 2: Convert to fraction form
    8,162.24/12,236.86 = 3,542/x
  3. Step 3: Cross multiply
    8,162.24x = 12,236.86 × 3,542
  4. Step 4: Simplify right side
    8,162.24x = 43,342,958.12
  5. Step 5: Solve for x
    x = 43,342,958.12/8,162.24
  6. Step 6: Final answer
    x = 5,310.18

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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.