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Finding the Fourth Proportional to 7,615.46, 11,413.10 and 3,227.46

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Solution

The fourth proportional to 7,615.46, 11,413.10 and 3,227.46 is: 4,836.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.46 : 11,413.10 = 3,227.46 : x
  2. Step 2: Convert to fraction form
    7,615.46/11,413.10 = 3,227.46/x
  3. Step 3: Cross multiply
    7,615.46x = 11,413.10 × 3,227.46
  4. Step 4: Simplify right side
    7,615.46x = 36,835,323.73
  5. Step 5: Solve for x
    x = 36,835,323.73/7,615.46
  6. Step 6: Final answer
    x = 4,836.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.