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Finding the Fourth Proportional to 8,516.75, 12,772.17 and 3,253.25

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Solution

The fourth proportional to 8,516.75, 12,772.17 and 3,253.25 is: 4,878.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516.75 : 12,772.17 = 3,253.25 : x
  2. Step 2: Convert to fraction form
    8,516.75/12,772.17 = 3,253.25/x
  3. Step 3: Cross multiply
    8,516.75x = 12,772.17 × 3,253.25
  4. Step 4: Simplify right side
    8,516.75x = 41,551,093.98
  5. Step 5: Solve for x
    x = 41,551,093.98/8,516.75
  6. Step 6: Final answer
    x = 4,878.75

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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.