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Finding the Fourth Proportional to 7,413.58, 10,231.68 and 4,863.49

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Solution

The fourth proportional to 7,413.58, 10,231.68 and 4,863.49 is: 6,712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.58 : 10,231.68 = 4,863.49 : x
  2. Step 2: Convert to fraction form
    7,413.58/10,231.68 = 4,863.49/x
  3. Step 3: Cross multiply
    7,413.58x = 10,231.68 × 4,863.49
  4. Step 4: Simplify right side
    7,413.58x = 49,761,723.58
  5. Step 5: Solve for x
    x = 49,761,723.58/7,413.58
  6. Step 6: Final answer
    x = 6,712.24

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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.