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Finding the Fourth Proportional to 7,546.97, 10,413.62 and 4,189.73

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Solution

The fourth proportional to 7,546.97, 10,413.62 and 4,189.73 is: 5,781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.97 : 10,413.62 = 4,189.73 : x
  2. Step 2: Convert to fraction form
    7,546.97/10,413.62 = 4,189.73/x
  3. Step 3: Cross multiply
    7,546.97x = 10,413.62 × 4,189.73
  4. Step 4: Simplify right side
    7,546.97x = 43,630,247.97
  5. Step 5: Solve for x
    x = 43,630,247.97/7,546.97
  6. Step 6: Final answer
    x = 5,781.16

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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.