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Finding the Fourth Proportional to 11,248.20, 15,522.57 and 6,469.20

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Solution

The fourth proportional to 11,248.20, 15,522.57 and 6,469.20 is: 8,927.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,248.20 : 15,522.57 = 6,469.20 : x
  2. Step 2: Convert to fraction form
    11,248.20/15,522.57 = 6,469.20/x
  3. Step 3: Cross multiply
    11,248.20x = 15,522.57 × 6,469.20
  4. Step 4: Simplify right side
    11,248.20x = 100,418,609.84
  5. Step 5: Solve for x
    x = 100,418,609.84/11,248.20
  6. Step 6: Final answer
    x = 8,927.53

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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.