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Finding the Fourth Proportional to 11,707.50, 17,559.92 and 2,942.44

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Solution

The fourth proportional to 11,707.50, 17,559.92 and 2,942.44 is: 4,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.50 : 17,559.92 = 2,942.44 : x
  2. Step 2: Convert to fraction form
    11,707.50/17,559.92 = 2,942.44/x
  3. Step 3: Cross multiply
    11,707.50x = 17,559.92 × 2,942.44
  4. Step 4: Simplify right side
    11,707.50x = 51,669,011.00
  5. Step 5: Solve for x
    x = 51,669,011.00/11,707.50
  6. Step 6: Final answer
    x = 4,413.33

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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.