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Finding the Fourth Proportional to 7,294.38, 10,939.23 and 2,362.83

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Solution

The fourth proportional to 7,294.38, 10,939.23 and 2,362.83 is: 3,543.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.38 : 10,939.23 = 2,362.83 : x
  2. Step 2: Convert to fraction form
    7,294.38/10,939.23 = 2,362.83/x
  3. Step 3: Cross multiply
    7,294.38x = 10,939.23 × 2,362.83
  4. Step 4: Simplify right side
    7,294.38x = 25,847,540.82
  5. Step 5: Solve for x
    x = 25,847,540.82/7,294.38
  6. Step 6: Final answer
    x = 3,543.49

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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.