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Finding the Fourth Proportional to 8,262.27, 11,400.33 and 4,724.73

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Solution

The fourth proportional to 8,262.27, 11,400.33 and 4,724.73 is: 6,519.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.27 : 11,400.33 = 4,724.73 : x
  2. Step 2: Convert to fraction form
    8,262.27/11,400.33 = 4,724.73/x
  3. Step 3: Cross multiply
    8,262.27x = 11,400.33 × 4,724.73
  4. Step 4: Simplify right side
    8,262.27x = 53,863,481.16
  5. Step 5: Solve for x
    x = 53,863,481.16/8,262.27
  6. Step 6: Final answer
    x = 6,519.21

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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.