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Finding the Fourth Proportional to 7,896.44, 11,839.26 and 2,965.16

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Solution

The fourth proportional to 7,896.44, 11,839.26 and 2,965.16 is: 4,445.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.44 : 11,839.26 = 2,965.16 : x
  2. Step 2: Convert to fraction form
    7,896.44/11,839.26 = 2,965.16/x
  3. Step 3: Cross multiply
    7,896.44x = 11,839.26 × 2,965.16
  4. Step 4: Simplify right side
    7,896.44x = 35,105,300.18
  5. Step 5: Solve for x
    x = 35,105,300.18/7,896.44
  6. Step 6: Final answer
    x = 4,445.71

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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.