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Finding the Fourth Proportional to 8,467.28, 12,685.56 and 8,282.96

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Solution

The fourth proportional to 8,467.28, 12,685.56 and 8,282.96 is: 12,409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,467.28 : 12,685.56 = 8,282.96 : x
  2. Step 2: Convert to fraction form
    8,467.28/12,685.56 = 8,282.96/x
  3. Step 3: Cross multiply
    8,467.28x = 12,685.56 × 8,282.96
  4. Step 4: Simplify right side
    8,467.28x = 105,073,986.06
  5. Step 5: Solve for x
    x = 105,073,986.06/8,467.28
  6. Step 6: Final answer
    x = 12,409.41

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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.