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Finding the Fourth Proportional to 6,711.26, 10,066.07 and 3,426.71

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Solution

The fourth proportional to 6,711.26, 10,066.07 and 3,426.71 is: 5,139.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.26 : 10,066.07 = 3,426.71 : x
  2. Step 2: Convert to fraction form
    6,711.26/10,066.07 = 3,426.71/x
  3. Step 3: Cross multiply
    6,711.26x = 10,066.07 × 3,426.71
  4. Step 4: Simplify right side
    6,711.26x = 34,493,460.97
  5. Step 5: Solve for x
    x = 34,493,460.97/6,711.26
  6. Step 6: Final answer
    x = 5,139.64

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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.