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Finding the Fourth Proportional to 7,608.66, 11,413.80 and 2,061.78

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Solution

The fourth proportional to 7,608.66, 11,413.80 and 2,061.78 is: 3,092.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.66 : 11,413.80 = 2,061.78 : x
  2. Step 2: Convert to fraction form
    7,608.66/11,413.80 = 2,061.78/x
  3. Step 3: Cross multiply
    7,608.66x = 11,413.80 × 2,061.78
  4. Step 4: Simplify right side
    7,608.66x = 23,532,744.56
  5. Step 5: Solve for x
    x = 23,532,744.56/7,608.66
  6. Step 6: Final answer
    x = 3,092.89

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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.