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Finding the Fourth Proportional to 8,616.78, 12,924.66 and 3,069.83

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Solution

The fourth proportional to 8,616.78, 12,924.66 and 3,069.83 is: 4,604.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,616.78 : 12,924.66 = 3,069.83 : x
  2. Step 2: Convert to fraction form
    8,616.78/12,924.66 = 3,069.83/x
  3. Step 3: Cross multiply
    8,616.78x = 12,924.66 × 3,069.83
  4. Step 4: Simplify right side
    8,616.78x = 39,676,506.14
  5. Step 5: Solve for x
    x = 39,676,506.14/8,616.78
  6. Step 6: Final answer
    x = 4,604.56

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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.