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Finding the Fourth Proportional to 8,283.96, 12,413.82 and 3,842.97

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Solution

The fourth proportional to 8,283.96, 12,413.82 and 3,842.97 is: 5,758.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.96 : 12,413.82 = 3,842.97 : x
  2. Step 2: Convert to fraction form
    8,283.96/12,413.82 = 3,842.97/x
  3. Step 3: Cross multiply
    8,283.96x = 12,413.82 × 3,842.97
  4. Step 4: Simplify right side
    8,283.96x = 47,705,937.85
  5. Step 5: Solve for x
    x = 47,705,937.85/8,283.96
  6. Step 6: Final answer
    x = 5,758.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.