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Finding the Fourth Proportional to 8,183.63, 12,264.51 and 3,791.41

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Solution

The fourth proportional to 8,183.63, 12,264.51 and 3,791.41 is: 5,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.63 : 12,264.51 = 3,791.41 : x
  2. Step 2: Convert to fraction form
    8,183.63/12,264.51 = 3,791.41/x
  3. Step 3: Cross multiply
    8,183.63x = 12,264.51 × 3,791.41
  4. Step 4: Simplify right side
    8,183.63x = 46,499,769.42
  5. Step 5: Solve for x
    x = 46,499,769.42/8,183.63
  6. Step 6: Final answer
    x = 5,682.05

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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.