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Finding the Fourth Proportional to 7,546.67, 10,413.91 and 4,189.48

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Solution

The fourth proportional to 7,546.67, 10,413.91 and 4,189.48 is: 5,781.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.67 : 10,413.91 = 4,189.48 : x
  2. Step 2: Convert to fraction form
    7,546.67/10,413.91 = 4,189.48/x
  3. Step 3: Cross multiply
    7,546.67x = 10,413.91 × 4,189.48
  4. Step 4: Simplify right side
    7,546.67x = 43,628,867.67
  5. Step 5: Solve for x
    x = 43,628,867.67/7,546.67
  6. Step 6: Final answer
    x = 5,781.21

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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.