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Finding the Fourth Proportional to 7,286.72, 10,930 and 2,092.60

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Solution

The fourth proportional to 7,286.72, 10,930 and 2,092.60 is: 3,138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.72 : 10,930 = 2,092.60 : x
  2. Step 2: Convert to fraction form
    7,286.72/10,930 = 2,092.60/x
  3. Step 3: Cross multiply
    7,286.72x = 10,930 × 2,092.60
  4. Step 4: Simplify right side
    7,286.72x = 22,872,118
  5. Step 5: Solve for x
    x = 22,872,118/7,286.72
  6. Step 6: Final answer
    x = 3,138.88

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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.