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Finding the Fourth Proportional to 8,488.26, 12,733.09 and 2,644.88

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Solution

The fourth proportional to 8,488.26, 12,733.09 and 2,644.88 is: 3,967.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.26 : 12,733.09 = 2,644.88 : x
  2. Step 2: Convert to fraction form
    8,488.26/12,733.09 = 2,644.88/x
  3. Step 3: Cross multiply
    8,488.26x = 12,733.09 × 2,644.88
  4. Step 4: Simplify right side
    8,488.26x = 33,677,424.80
  5. Step 5: Solve for x
    x = 33,677,424.80/8,488.26
  6. Step 6: Final answer
    x = 3,967.53

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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.