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Finding the Fourth Proportional to 8,103.96, 12,146.82 and 4,144.12

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Solution

The fourth proportional to 8,103.96, 12,146.82 and 4,144.12 is: 6,211.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.96 : 12,146.82 = 4,144.12 : x
  2. Step 2: Convert to fraction form
    8,103.96/12,146.82 = 4,144.12/x
  3. Step 3: Cross multiply
    8,103.96x = 12,146.82 × 4,144.12
  4. Step 4: Simplify right side
    8,103.96x = 50,337,879.70
  5. Step 5: Solve for x
    x = 50,337,879.70/8,103.96
  6. Step 6: Final answer
    x = 6,211.52

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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.