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Finding the Fourth Proportional to 7,580.97, 11,372.99 and 3,198.44

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Solution

The fourth proportional to 7,580.97, 11,372.99 and 3,198.44 is: 4,798.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.97 : 11,372.99 = 3,198.44 : x
  2. Step 2: Convert to fraction form
    7,580.97/11,372.99 = 3,198.44/x
  3. Step 3: Cross multiply
    7,580.97x = 11,372.99 × 3,198.44
  4. Step 4: Simplify right side
    7,580.97x = 36,375,826.14
  5. Step 5: Solve for x
    x = 36,375,826.14/7,580.97
  6. Step 6: Final answer
    x = 4,798.31

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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.