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Finding the Fourth Proportional to 8,119.83, 12,180.50 and 2,276.49

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Solution

The fourth proportional to 8,119.83, 12,180.50 and 2,276.49 is: 3,414.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.83 : 12,180.50 = 2,276.49 : x
  2. Step 2: Convert to fraction form
    8,119.83/12,180.50 = 2,276.49/x
  3. Step 3: Cross multiply
    8,119.83x = 12,180.50 × 2,276.49
  4. Step 4: Simplify right side
    8,119.83x = 27,728,775.06
  5. Step 5: Solve for x
    x = 27,728,775.06/8,119.83
  6. Step 6: Final answer
    x = 3,414.95

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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.