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Finding the Fourth Proportional to 7,960.34, 11,940.60 and 2,413.64

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Solution

The fourth proportional to 7,960.34, 11,940.60 and 2,413.64 is: 3,620.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.34 : 11,940.60 = 2,413.64 : x
  2. Step 2: Convert to fraction form
    7,960.34/11,940.60 = 2,413.64/x
  3. Step 3: Cross multiply
    7,960.34x = 11,940.60 × 2,413.64
  4. Step 4: Simplify right side
    7,960.34x = 28,820,309.78
  5. Step 5: Solve for x
    x = 28,820,309.78/7,960.34
  6. Step 6: Final answer
    x = 3,620.49

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Why These Related Problems?

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