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Finding the Fourth Proportional to 8,769.26, 12,105.05 and 5,413.43

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Solution

The fourth proportional to 8,769.26, 12,105.05 and 5,413.43 is: 7,472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,769.26 : 12,105.05 = 5,413.43 : x
  2. Step 2: Convert to fraction form
    8,769.26/12,105.05 = 5,413.43/x
  3. Step 3: Cross multiply
    8,769.26x = 12,105.05 × 5,413.43
  4. Step 4: Simplify right side
    8,769.26x = 65,529,844.02
  5. Step 5: Solve for x
    x = 65,529,844.02/8,769.26
  6. Step 6: Final answer
    x = 7,472.67

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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.