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Finding the Fourth Proportional to 8,121.78, 11,202.77 and 5,735.22

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Solution

The fourth proportional to 8,121.78, 11,202.77 and 5,735.22 is: 7,910.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.78 : 11,202.77 = 5,735.22 : x
  2. Step 2: Convert to fraction form
    8,121.78/11,202.77 = 5,735.22/x
  3. Step 3: Cross multiply
    8,121.78x = 11,202.77 × 5,735.22
  4. Step 4: Simplify right side
    8,121.78x = 64,250,265.87
  5. Step 5: Solve for x
    x = 64,250,265.87/8,121.78
  6. Step 6: Final answer
    x = 7,910.87

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