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Finding the Fourth Proportional to 10,640.28, 15,967.04 and 4,067.16

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Solution

The fourth proportional to 10,640.28, 15,967.04 and 4,067.16 is: 6,103.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.28 : 15,967.04 = 4,067.16 : x
  2. Step 2: Convert to fraction form
    10,640.28/15,967.04 = 4,067.16/x
  3. Step 3: Cross multiply
    10,640.28x = 15,967.04 × 4,067.16
  4. Step 4: Simplify right side
    10,640.28x = 64,940,506.41
  5. Step 5: Solve for x
    x = 64,940,506.41/10,640.28
  6. Step 6: Final answer
    x = 6,103.27

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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.