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Finding the Fourth Proportional to 27,286.92, 40,926.33 and 7,563.42

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Solution

The fourth proportional to 27,286.92, 40,926.33 and 7,563.42 is: 11,344.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,286.92 : 40,926.33 = 7,563.42 : x
  2. Step 2: Convert to fraction form
    27,286.92/40,926.33 = 7,563.42/x
  3. Step 3: Cross multiply
    27,286.92x = 40,926.33 × 7,563.42
  4. Step 4: Simplify right side
    27,286.92x = 309,543,022.85
  5. Step 5: Solve for x
    x = 309,543,022.85/27,286.92
  6. Step 6: Final answer
    x = 11,344.01

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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.