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Finding the Fourth Proportional to 8,432.75, 12,650.75 and 3,238.22

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Solution

The fourth proportional to 8,432.75, 12,650.75 and 3,238.22 is: 4,857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.75 : 12,650.75 = 3,238.22 : x
  2. Step 2: Convert to fraction form
    8,432.75/12,650.75 = 3,238.22/x
  3. Step 3: Cross multiply
    8,432.75x = 12,650.75 × 3,238.22
  4. Step 4: Simplify right side
    8,432.75x = 40,965,911.67
  5. Step 5: Solve for x
    x = 40,965,911.67/8,432.75
  6. Step 6: Final answer
    x = 4,857.95

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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.