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Finding the Fourth Proportional to 8,134.13, 12,200.12 and 2,291.20

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Solution

The fourth proportional to 8,134.13, 12,200.12 and 2,291.20 is: 3,436.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.13 : 12,200.12 = 2,291.20 : x
  2. Step 2: Convert to fraction form
    8,134.13/12,200.12 = 2,291.20/x
  3. Step 3: Cross multiply
    8,134.13x = 12,200.12 × 2,291.20
  4. Step 4: Simplify right side
    8,134.13x = 27,952,872.99
  5. Step 5: Solve for x
    x = 27,952,872.99/8,134.13
  6. Step 6: Final answer
    x = 3,436.49

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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.