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Finding the Fourth Proportional to 7,906.44, 11,859.54 and 3,226.26

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Solution

The fourth proportional to 7,906.44, 11,859.54 and 3,226.26 is: 4,839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.44 : 11,859.54 = 3,226.26 : x
  2. Step 2: Convert to fraction form
    7,906.44/11,859.54 = 3,226.26/x
  3. Step 3: Cross multiply
    7,906.44x = 11,859.54 × 3,226.26
  4. Step 4: Simplify right side
    7,906.44x = 38,261,959.52
  5. Step 5: Solve for x
    x = 38,261,959.52/7,906.44
  6. Step 6: Final answer
    x = 4,839.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.