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Finding the Fourth Proportional to 7,270.62, 10,906.95 and 2,340.78

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Solution

The fourth proportional to 7,270.62, 10,906.95 and 2,340.78 is: 3,511.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270.62 : 10,906.95 = 2,340.78 : x
  2. Step 2: Convert to fraction form
    7,270.62/10,906.95 = 2,340.78/x
  3. Step 3: Cross multiply
    7,270.62x = 10,906.95 × 2,340.78
  4. Step 4: Simplify right side
    7,270.62x = 25,530,770.42
  5. Step 5: Solve for x
    x = 25,530,770.42/7,270.62
  6. Step 6: Final answer
    x = 3,511.50

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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.