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Finding the Fourth Proportional to 8,516.82, 12,778.26 and 3,252.22

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Solution

The fourth proportional to 8,516.82, 12,778.26 and 3,252.22 is: 4,879.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516.82 : 12,778.26 = 3,252.22 : x
  2. Step 2: Convert to fraction form
    8,516.82/12,778.26 = 3,252.22/x
  3. Step 3: Cross multiply
    8,516.82x = 12,778.26 × 3,252.22
  4. Step 4: Simplify right side
    8,516.82x = 41,557,712.74
  5. Step 5: Solve for x
    x = 41,557,712.74/8,516.82
  6. Step 6: Final answer
    x = 4,879.49

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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.