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Finding the Fourth Proportional to 8,106.68, 12,161.27 and 3,426.71

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Solution

The fourth proportional to 8,106.68, 12,161.27 and 3,426.71 is: 5,140.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.68 : 12,161.27 = 3,426.71 : x
  2. Step 2: Convert to fraction form
    8,106.68/12,161.27 = 3,426.71/x
  3. Step 3: Cross multiply
    8,106.68x = 12,161.27 × 3,426.71
  4. Step 4: Simplify right side
    8,106.68x = 41,673,093.28
  5. Step 5: Solve for x
    x = 41,673,093.28/8,106.68
  6. Step 6: Final answer
    x = 5,140.59

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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.