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Finding the Fourth Proportional to 8,297.28, 11,439.36 and 6,301.44

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Solution

The fourth proportional to 8,297.28, 11,439.36 and 6,301.44 is: 8,687.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.28 : 11,439.36 = 6,301.44 : x
  2. Step 2: Convert to fraction form
    8,297.28/11,439.36 = 6,301.44/x
  3. Step 3: Cross multiply
    8,297.28x = 11,439.36 × 6,301.44
  4. Step 4: Simplify right side
    8,297.28x = 72,084,440.68
  5. Step 5: Solve for x
    x = 72,084,440.68/8,297.28
  6. Step 6: Final answer
    x = 8,687.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.