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Finding the Fourth Proportional to 8,190.99, 12,286.49 and 2,034.99

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Solution

The fourth proportional to 8,190.99, 12,286.49 and 2,034.99 is: 3,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,190.99 : 12,286.49 = 2,034.99 : x
  2. Step 2: Convert to fraction form
    8,190.99/12,286.49 = 2,034.99/x
  3. Step 3: Cross multiply
    8,190.99x = 12,286.49 × 2,034.99
  4. Step 4: Simplify right side
    8,190.99x = 25,002,874.11
  5. Step 5: Solve for x
    x = 25,002,874.11/8,190.99
  6. Step 6: Final answer
    x = 3,052.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.