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Finding the Fourth Proportional to 7,796.53, 11,696.73 and 2,249.74

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Solution

The fourth proportional to 7,796.53, 11,696.73 and 2,249.74 is: 3,375.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.53 : 11,696.73 = 2,249.74 : x
  2. Step 2: Convert to fraction form
    7,796.53/11,696.73 = 2,249.74/x
  3. Step 3: Cross multiply
    7,796.53x = 11,696.73 × 2,249.74
  4. Step 4: Simplify right side
    7,796.53x = 26,314,601.35
  5. Step 5: Solve for x
    x = 26,314,601.35/7,796.53
  6. Step 6: Final answer
    x = 3,375.17

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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.