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Finding the Fourth Proportional to 7,270.96, 10,906.84 and 2,340.24

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Solution

The fourth proportional to 7,270.96, 10,906.84 and 2,340.24 is: 3,510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270.96 : 10,906.84 = 2,340.24 : x
  2. Step 2: Convert to fraction form
    7,270.96/10,906.84 = 2,340.24/x
  3. Step 3: Cross multiply
    7,270.96x = 10,906.84 × 2,340.24
  4. Step 4: Simplify right side
    7,270.96x = 25,524,623.24
  5. Step 5: Solve for x
    x = 25,524,623.24/7,270.96
  6. Step 6: Final answer
    x = 3,510.49

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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.