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Finding the Fourth Proportional to 11,249.28, 15,522.84 and 6,532.65

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Solution

The fourth proportional to 11,249.28, 15,522.84 and 6,532.65 is: 9,014.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249.28 : 15,522.84 = 6,532.65 : x
  2. Step 2: Convert to fraction form
    11,249.28/15,522.84 = 6,532.65/x
  3. Step 3: Cross multiply
    11,249.28x = 15,522.84 × 6,532.65
  4. Step 4: Simplify right side
    11,249.28x = 101,405,280.73
  5. Step 5: Solve for x
    x = 101,405,280.73/11,249.28
  6. Step 6: Final answer
    x = 9,014.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.