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Finding the Fourth Proportional to 7,963.38, 11,945.06 and 2,769.25

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Solution

The fourth proportional to 7,963.38, 11,945.06 and 2,769.25 is: 4,153.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.38 : 11,945.06 = 2,769.25 : x
  2. Step 2: Convert to fraction form
    7,963.38/11,945.06 = 2,769.25/x
  3. Step 3: Cross multiply
    7,963.38x = 11,945.06 × 2,769.25
  4. Step 4: Simplify right side
    7,963.38x = 33,078,857.41
  5. Step 5: Solve for x
    x = 33,078,857.41/7,963.38
  6. Step 6: Final answer
    x = 4,153.87

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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.