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Finding the Fourth Proportional to 8,057.97, 11,122.38 and 5,225.53

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Solution

The fourth proportional to 8,057.97, 11,122.38 and 5,225.53 is: 7,212.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.97 : 11,122.38 = 5,225.53 : x
  2. Step 2: Convert to fraction form
    8,057.97/11,122.38 = 5,225.53/x
  3. Step 3: Cross multiply
    8,057.97x = 11,122.38 × 5,225.53
  4. Step 4: Simplify right side
    8,057.97x = 58,120,254.44
  5. Step 5: Solve for x
    x = 58,120,254.44/8,057.97
  6. Step 6: Final answer
    x = 7,212.76

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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.