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Finding the Fourth Proportional to 8,049.50, 12,072.95 and 2,204.74

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Solution

The fourth proportional to 8,049.50, 12,072.95 and 2,204.74 is: 3,306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.50 : 12,072.95 = 2,204.74 : x
  2. Step 2: Convert to fraction form
    8,049.50/12,072.95 = 2,204.74/x
  3. Step 3: Cross multiply
    8,049.50x = 12,072.95 × 2,204.74
  4. Step 4: Simplify right side
    8,049.50x = 26,617,736.39
  5. Step 5: Solve for x
    x = 26,617,736.39/8,049.50
  6. Step 6: Final answer
    x = 3,306.76

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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.