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Finding the Fourth Proportional to 7,270.50, 10,906.17 and 2,076.78

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Solution

The fourth proportional to 7,270.50, 10,906.17 and 2,076.78 is: 3,115.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270.50 : 10,906.17 = 2,076.78 : x
  2. Step 2: Convert to fraction form
    7,270.50/10,906.17 = 2,076.78/x
  3. Step 3: Cross multiply
    7,270.50x = 10,906.17 × 2,076.78
  4. Step 4: Simplify right side
    7,270.50x = 22,649,715.73
  5. Step 5: Solve for x
    x = 22,649,715.73/7,270.50
  6. Step 6: Final answer
    x = 3,115.29

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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.