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Finding the Fourth Proportional to 8,238.52, 12,357.76 and 2,766.52

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Solution

The fourth proportional to 8,238.52, 12,357.76 and 2,766.52 is: 4,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.52 : 12,357.76 = 2,766.52 : x
  2. Step 2: Convert to fraction form
    8,238.52/12,357.76 = 2,766.52/x
  3. Step 3: Cross multiply
    8,238.52x = 12,357.76 × 2,766.52
  4. Step 4: Simplify right side
    8,238.52x = 34,187,990.20
  5. Step 5: Solve for x
    x = 34,187,990.20/8,238.52
  6. Step 6: Final answer
    x = 4,149.77

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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.