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Finding the Fourth Proportional to 8,029.20, 12,040.20 and 3,097.20

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Solution

The fourth proportional to 8,029.20, 12,040.20 and 3,097.20 is: 4,644.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.20 : 12,040.20 = 3,097.20 : x
  2. Step 2: Convert to fraction form
    8,029.20/12,040.20 = 3,097.20/x
  3. Step 3: Cross multiply
    8,029.20x = 12,040.20 × 3,097.20
  4. Step 4: Simplify right side
    8,029.20x = 37,290,907.44
  5. Step 5: Solve for x
    x = 37,290,907.44/8,029.20
  6. Step 6: Final answer
    x = 4,644.41

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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.