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Finding the Fourth Proportional to 8,451.62, 12,668.94 and 3,524

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Solution

The fourth proportional to 8,451.62, 12,668.94 and 3,524 is: 5,282.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451.62 : 12,668.94 = 3,524 : x
  2. Step 2: Convert to fraction form
    8,451.62/12,668.94 = 3,524/x
  3. Step 3: Cross multiply
    8,451.62x = 12,668.94 × 3,524
  4. Step 4: Simplify right side
    8,451.62x = 44,645,344.56
  5. Step 5: Solve for x
    x = 44,645,344.56/8,451.62
  6. Step 6: Final answer
    x = 5,282.46

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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.