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Finding the Fourth Proportional to 8,202.54, 11,321.25 and 5,016.42

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Solution

The fourth proportional to 8,202.54, 11,321.25 and 5,016.42 is: 6,923.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.54 : 11,321.25 = 5,016.42 : x
  2. Step 2: Convert to fraction form
    8,202.54/11,321.25 = 5,016.42/x
  3. Step 3: Cross multiply
    8,202.54x = 11,321.25 × 5,016.42
  4. Step 4: Simplify right side
    8,202.54x = 56,792,144.93
  5. Step 5: Solve for x
    x = 56,792,144.93/8,202.54
  6. Step 6: Final answer
    x = 6,923.73

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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.