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Finding the Fourth Proportional to 8,161.16, 12,242.61 and 2,965.82

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Solution

The fourth proportional to 8,161.16, 12,242.61 and 2,965.82 is: 4,449.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.16 : 12,242.61 = 2,965.82 : x
  2. Step 2: Convert to fraction form
    8,161.16/12,242.61 = 2,965.82/x
  3. Step 3: Cross multiply
    8,161.16x = 12,242.61 × 2,965.82
  4. Step 4: Simplify right side
    8,161.16x = 36,309,316.38
  5. Step 5: Solve for x
    x = 36,309,316.38/8,161.16
  6. Step 6: Final answer
    x = 4,449.04

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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.