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Finding the Fourth Proportional to 11,608.20, 17,412.30 and 6,942.60

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Solution

The fourth proportional to 11,608.20, 17,412.30 and 6,942.60 is: 10,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608.20 : 17,412.30 = 6,942.60 : x
  2. Step 2: Convert to fraction form
    11,608.20/17,412.30 = 6,942.60/x
  3. Step 3: Cross multiply
    11,608.20x = 17,412.30 × 6,942.60
  4. Step 4: Simplify right side
    11,608.20x = 120,886,633.98
  5. Step 5: Solve for x
    x = 120,886,633.98/11,608.20
  6. Step 6: Final answer
    x = 10,413.90

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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.