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Finding the Fourth Proportional to 8,183.74, 12,276.02 and 2,341.22

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Solution

The fourth proportional to 8,183.74, 12,276.02 and 2,341.22 is: 3,511.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.74 : 12,276.02 = 2,341.22 : x
  2. Step 2: Convert to fraction form
    8,183.74/12,276.02 = 2,341.22/x
  3. Step 3: Cross multiply
    8,183.74x = 12,276.02 × 2,341.22
  4. Step 4: Simplify right side
    8,183.74x = 28,740,863.54
  5. Step 5: Solve for x
    x = 28,740,863.54/8,183.74
  6. Step 6: Final answer
    x = 3,511.95

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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.