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Finding the Fourth Proportional to 12,609.92, 17,413.50 and 7,902.40

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Solution

The fourth proportional to 12,609.92, 17,413.50 and 7,902.40 is: 10,912.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,609.92 : 17,413.50 = 7,902.40 : x
  2. Step 2: Convert to fraction form
    12,609.92/17,413.50 = 7,902.40/x
  3. Step 3: Cross multiply
    12,609.92x = 17,413.50 × 7,902.40
  4. Step 4: Simplify right side
    12,609.92x = 137,608,402.89
  5. Step 5: Solve for x
    x = 137,608,402.89/12,609.92
  6. Step 6: Final answer
    x = 10,912.71

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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.