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Finding the Fourth Proportional to 8,297.27, 11,450.28 and 4,520.48

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Solution

The fourth proportional to 8,297.27, 11,450.28 and 4,520.48 is: 6,238.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.27 : 11,450.28 = 4,520.48 : x
  2. Step 2: Convert to fraction form
    8,297.27/11,450.28 = 4,520.48/x
  3. Step 3: Cross multiply
    8,297.27x = 11,450.28 × 4,520.48
  4. Step 4: Simplify right side
    8,297.27x = 51,760,704.48
  5. Step 5: Solve for x
    x = 51,760,704.48/8,297.27
  6. Step 6: Final answer
    x = 6,238.28

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Why These Related Problems?

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