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Finding the Fourth Proportional to 7,604.90, 11,413.14 and 6,127.73

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Solution

The fourth proportional to 7,604.90, 11,413.14 and 6,127.73 is: 9,196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.90 : 11,413.14 = 6,127.73 : x
  2. Step 2: Convert to fraction form
    7,604.90/11,413.14 = 6,127.73/x
  3. Step 3: Cross multiply
    7,604.90x = 11,413.14 × 6,127.73
  4. Step 4: Simplify right side
    7,604.90x = 69,936,640.37
  5. Step 5: Solve for x
    x = 69,936,640.37/7,604.90
  6. Step 6: Final answer
    x = 9,196.26

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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.