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Finding the Fourth Proportional to 8,896.41, 13,340.30 and 2,738.97

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Solution

The fourth proportional to 8,896.41, 13,340.30 and 2,738.97 is: 4,107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896.41 : 13,340.30 = 2,738.97 : x
  2. Step 2: Convert to fraction form
    8,896.41/13,340.30 = 2,738.97/x
  3. Step 3: Cross multiply
    8,896.41x = 13,340.30 × 2,738.97
  4. Step 4: Simplify right side
    8,896.41x = 36,538,667.80
  5. Step 5: Solve for x
    x = 36,538,667.80/8,896.41
  6. Step 6: Final answer
    x = 4,107.12

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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.