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Finding the Fourth Proportional to 8,033.62, 12,043.94 and 3,357.22

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Solution

The fourth proportional to 8,033.62, 12,043.94 and 3,357.22 is: 5,033.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.62 : 12,043.94 = 3,357.22 : x
  2. Step 2: Convert to fraction form
    8,033.62/12,043.94 = 3,357.22/x
  3. Step 3: Cross multiply
    8,033.62x = 12,043.94 × 3,357.22
  4. Step 4: Simplify right side
    8,033.62x = 40,434,156.25
  5. Step 5: Solve for x
    x = 40,434,156.25/8,033.62
  6. Step 6: Final answer
    x = 5,033.12

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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.