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Finding the Fourth Proportional to 7,619.82, 11,413.22 and 3,665

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Solution

The fourth proportional to 7,619.82, 11,413.22 and 3,665 is: 5,489.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,619.82 : 11,413.22 = 3,665 : x
  2. Step 2: Convert to fraction form
    7,619.82/11,413.22 = 3,665/x
  3. Step 3: Cross multiply
    7,619.82x = 11,413.22 × 3,665
  4. Step 4: Simplify right side
    7,619.82x = 41,829,451.30
  5. Step 5: Solve for x
    x = 41,829,451.30/7,619.82
  6. Step 6: Final answer
    x = 5,489.56

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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.