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Finding the Fourth Proportional to 8,033.44, 12,048.96 and 2,769.28

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Solution

The fourth proportional to 8,033.44, 12,048.96 and 2,769.28 is: 4,153.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.44 : 12,048.96 = 2,769.28 : x
  2. Step 2: Convert to fraction form
    8,033.44/12,048.96 = 2,769.28/x
  3. Step 3: Cross multiply
    8,033.44x = 12,048.96 × 2,769.28
  4. Step 4: Simplify right side
    8,033.44x = 33,366,943.95
  5. Step 5: Solve for x
    x = 33,366,943.95/8,033.44
  6. Step 6: Final answer
    x = 4,153.51

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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.