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Finding the Fourth Proportional to 7,796.26, 11,694.47 and 2,249.65

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Solution

The fourth proportional to 7,796.26, 11,694.47 and 2,249.65 is: 3,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.26 : 11,694.47 = 2,249.65 : x
  2. Step 2: Convert to fraction form
    7,796.26/11,694.47 = 2,249.65/x
  3. Step 3: Cross multiply
    7,796.26x = 11,694.47 × 2,249.65
  4. Step 4: Simplify right side
    7,796.26x = 26,308,445.99
  5. Step 5: Solve for x
    x = 26,308,445.99/7,796.26
  6. Step 6: Final answer
    x = 3,374.50

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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.