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Finding the Fourth Proportional to 12,968.44, 17,896.86 and 7,591.41

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Solution

The fourth proportional to 12,968.44, 17,896.86 and 7,591.41 is: 10,476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,968.44 : 17,896.86 = 7,591.41 : x
  2. Step 2: Convert to fraction form
    12,968.44/17,896.86 = 7,591.41/x
  3. Step 3: Cross multiply
    12,968.44x = 17,896.86 × 7,591.41
  4. Step 4: Simplify right side
    12,968.44x = 135,862,401.97
  5. Step 5: Solve for x
    x = 135,862,401.97/12,968.44
  6. Step 6: Final answer
    x = 10,476.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.