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Finding the Fourth Proportional to 8,256.44, 12,384.50 and 2,016.27

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Solution

The fourth proportional to 8,256.44, 12,384.50 and 2,016.27 is: 3,024.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.44 : 12,384.50 = 2,016.27 : x
  2. Step 2: Convert to fraction form
    8,256.44/12,384.50 = 2,016.27/x
  3. Step 3: Cross multiply
    8,256.44x = 12,384.50 × 2,016.27
  4. Step 4: Simplify right side
    8,256.44x = 24,970,485.73
  5. Step 5: Solve for x
    x = 24,970,485.73/8,256.44
  6. Step 6: Final answer
    x = 3,024.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.