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Finding the Fourth Proportional to 8,174.87, 12,262.24 and 5,413.90

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Solution

The fourth proportional to 8,174.87, 12,262.24 and 5,413.90 is: 8,120.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.87 : 12,262.24 = 5,413.90 : x
  2. Step 2: Convert to fraction form
    8,174.87/12,262.24 = 5,413.90/x
  3. Step 3: Cross multiply
    8,174.87x = 12,262.24 × 5,413.90
  4. Step 4: Simplify right side
    8,174.87x = 66,386,496.95
  5. Step 5: Solve for x
    x = 66,386,496.95/8,174.87
  6. Step 6: Final answer
    x = 8,120.80

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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.