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Finding the Fourth Proportional to 8,206.62, 11,325.27 and 4,480.62

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Solution

The fourth proportional to 8,206.62, 11,325.27 and 4,480.62 is: 6,183.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.62 : 11,325.27 = 4,480.62 : x
  2. Step 2: Convert to fraction form
    8,206.62/11,325.27 = 4,480.62/x
  3. Step 3: Cross multiply
    8,206.62x = 11,325.27 × 4,480.62
  4. Step 4: Simplify right side
    8,206.62x = 50,744,231.27
  5. Step 5: Solve for x
    x = 50,744,231.27/8,206.62
  6. Step 6: Final answer
    x = 6,183.33

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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.