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Finding the Fourth Proportional to 7,171.32, 10,758.42 and 3,274.68

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Solution

The fourth proportional to 7,171.32, 10,758.42 and 3,274.68 is: 4,912.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.32 : 10,758.42 = 3,274.68 : x
  2. Step 2: Convert to fraction form
    7,171.32/10,758.42 = 3,274.68/x
  3. Step 3: Cross multiply
    7,171.32x = 10,758.42 × 3,274.68
  4. Step 4: Simplify right side
    7,171.32x = 35,230,382.81
  5. Step 5: Solve for x
    x = 35,230,382.81/7,171.32
  6. Step 6: Final answer
    x = 4,912.68

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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.