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Finding the Fourth Proportional to 7,286.56, 10,929.84 and 2,092.42

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Solution

The fourth proportional to 7,286.56, 10,929.84 and 2,092.42 is: 3,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.56 : 10,929.84 = 2,092.42 : x
  2. Step 2: Convert to fraction form
    7,286.56/10,929.84 = 2,092.42/x
  3. Step 3: Cross multiply
    7,286.56x = 10,929.84 × 2,092.42
  4. Step 4: Simplify right side
    7,286.56x = 22,869,815.81
  5. Step 5: Solve for x
    x = 22,869,815.81/7,286.56
  6. Step 6: Final answer
    x = 3,138.63

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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.