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Finding the Fourth Proportional to 8,231.32, 12,323.75 and 7,452.81

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Solution

The fourth proportional to 8,231.32, 12,323.75 and 7,452.81 is: 11,158.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.32 : 12,323.75 = 7,452.81 : x
  2. Step 2: Convert to fraction form
    8,231.32/12,323.75 = 7,452.81/x
  3. Step 3: Cross multiply
    8,231.32x = 12,323.75 × 7,452.81
  4. Step 4: Simplify right side
    8,231.32x = 91,846,529.97
  5. Step 5: Solve for x
    x = 91,846,529.97/8,231.32
  6. Step 6: Final answer
    x = 11,158.18

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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.