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Finding the Fourth Proportional to 6,711.46, 10,065.81 and 2,327.44

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Solution

The fourth proportional to 6,711.46, 10,065.81 and 2,327.44 is: 3,490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.46 : 10,065.81 = 2,327.44 : x
  2. Step 2: Convert to fraction form
    6,711.46/10,065.81 = 2,327.44/x
  3. Step 3: Cross multiply
    6,711.46x = 10,065.81 × 2,327.44
  4. Step 4: Simplify right side
    6,711.46x = 23,427,568.83
  5. Step 5: Solve for x
    x = 23,427,568.83/6,711.46
  6. Step 6: Final answer
    x = 3,490.68

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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.