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Finding the Fourth Proportional to 7,544.93, 10,413.25 and 4,188.82

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Solution

The fourth proportional to 7,544.93, 10,413.25 and 4,188.82 is: 5,781.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.93 : 10,413.25 = 4,188.82 : x
  2. Step 2: Convert to fraction form
    7,544.93/10,413.25 = 4,188.82/x
  3. Step 3: Cross multiply
    7,544.93x = 10,413.25 × 4,188.82
  4. Step 4: Simplify right side
    7,544.93x = 43,619,229.87
  5. Step 5: Solve for x
    x = 43,619,229.87/7,544.93
  6. Step 6: Final answer
    x = 5,781.26

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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.