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Finding the Fourth Proportional to 7,607.90, 11,413.48 and 3,227.42

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Solution

The fourth proportional to 7,607.90, 11,413.48 and 3,227.42 is: 4,841.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607.90 : 11,413.48 = 3,227.42 : x
  2. Step 2: Convert to fraction form
    7,607.90/11,413.48 = 3,227.42/x
  3. Step 3: Cross multiply
    7,607.90x = 11,413.48 × 3,227.42
  4. Step 4: Simplify right side
    7,607.90x = 36,836,093.62
  5. Step 5: Solve for x
    x = 36,836,093.62/7,607.90
  6. Step 6: Final answer
    x = 4,841.82

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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.