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Finding the Fourth Proportional to 8,127.96, 12,196.96 and 3,196.76

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Solution

The fourth proportional to 8,127.96, 12,196.96 and 3,196.76 is: 4,797.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.96 : 12,196.96 = 3,196.76 : x
  2. Step 2: Convert to fraction form
    8,127.96/12,196.96 = 3,196.76/x
  3. Step 3: Cross multiply
    8,127.96x = 12,196.96 × 3,196.76
  4. Step 4: Simplify right side
    8,127.96x = 38,990,753.85
  5. Step 5: Solve for x
    x = 38,990,753.85/8,127.96
  6. Step 6: Final answer
    x = 4,797.11

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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.