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Finding the Fourth Proportional to 8,033.67, 11,086.38 and 4,496.91

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Solution

The fourth proportional to 8,033.67, 11,086.38 and 4,496.91 is: 6,205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.67 : 11,086.38 = 4,496.91 : x
  2. Step 2: Convert to fraction form
    8,033.67/11,086.38 = 4,496.91/x
  3. Step 3: Cross multiply
    8,033.67x = 11,086.38 × 4,496.91
  4. Step 4: Simplify right side
    8,033.67x = 49,854,453.09
  5. Step 5: Solve for x
    x = 49,854,453.09/8,033.67
  6. Step 6: Final answer
    x = 6,205.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.