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Finding the Fourth Proportional to 8,293.24, 11,441.18 and 5,493.88

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Solution

The fourth proportional to 8,293.24, 11,441.18 and 5,493.88 is: 7,579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.24 : 11,441.18 = 5,493.88 : x
  2. Step 2: Convert to fraction form
    8,293.24/11,441.18 = 5,493.88/x
  3. Step 3: Cross multiply
    8,293.24x = 11,441.18 × 5,493.88
  4. Step 4: Simplify right side
    8,293.24x = 62,856,469.98
  5. Step 5: Solve for x
    x = 62,856,469.98/8,293.24
  6. Step 6: Final answer
    x = 7,579.24

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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.