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Finding the Fourth Proportional to 6,711.36, 10,065.96 and 2,327.82

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Solution

The fourth proportional to 6,711.36, 10,065.96 and 2,327.82 is: 3,491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.36 : 10,065.96 = 2,327.82 : x
  2. Step 2: Convert to fraction form
    6,711.36/10,065.96 = 2,327.82/x
  3. Step 3: Cross multiply
    6,711.36x = 10,065.96 × 2,327.82
  4. Step 4: Simplify right side
    6,711.36x = 23,431,743.01
  5. Step 5: Solve for x
    x = 23,431,743.01/6,711.36
  6. Step 6: Final answer
    x = 3,491.36

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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.