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Finding the Fourth Proportional to 8,122.72, 12,183.60 and 3,508.96

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Solution

The fourth proportional to 8,122.72, 12,183.60 and 3,508.96 is: 5,263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.72 : 12,183.60 = 3,508.96 : x
  2. Step 2: Convert to fraction form
    8,122.72/12,183.60 = 3,508.96/x
  3. Step 3: Cross multiply
    8,122.72x = 12,183.60 × 3,508.96
  4. Step 4: Simplify right side
    8,122.72x = 42,751,765.06
  5. Step 5: Solve for x
    x = 42,751,765.06/8,122.72
  6. Step 6: Final answer
    x = 5,263.23

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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.