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Finding the Fourth Proportional to 8,033.96, 12,049.70 and 2,191.02

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Solution

The fourth proportional to 8,033.96, 12,049.70 and 2,191.02 is: 3,286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.96 : 12,049.70 = 2,191.02 : x
  2. Step 2: Convert to fraction form
    8,033.96/12,049.70 = 2,191.02/x
  3. Step 3: Cross multiply
    8,033.96x = 12,049.70 × 2,191.02
  4. Step 4: Simplify right side
    8,033.96x = 26,401,122.74
  5. Step 5: Solve for x
    x = 26,401,122.74/8,033.96
  6. Step 6: Final answer
    x = 3,286.19

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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.