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Finding the Fourth Proportional to 7,546.56, 10,413.68 and 4,189.48

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Solution

The fourth proportional to 7,546.56, 10,413.68 and 4,189.48 is: 5,781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.56 : 10,413.68 = 4,189.48 : x
  2. Step 2: Convert to fraction form
    7,546.56/10,413.68 = 4,189.48/x
  3. Step 3: Cross multiply
    7,546.56x = 10,413.68 × 4,189.48
  4. Step 4: Simplify right side
    7,546.56x = 43,627,904.09
  5. Step 5: Solve for x
    x = 43,627,904.09/7,546.56
  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.