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Finding the Fourth Proportional to 8,111.88, 12,170.16 and 3,183.84

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Solution

The fourth proportional to 8,111.88, 12,170.16 and 3,183.84 is: 4,776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.88 : 12,170.16 = 3,183.84 : x
  2. Step 2: Convert to fraction form
    8,111.88/12,170.16 = 3,183.84/x
  3. Step 3: Cross multiply
    8,111.88x = 12,170.16 × 3,183.84
  4. Step 4: Simplify right side
    8,111.88x = 38,747,842.21
  5. Step 5: Solve for x
    x = 38,747,842.21/8,111.88
  6. Step 6: Final answer
    x = 4,776.68

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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.