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Finding the Fourth Proportional to 10,936, 15,091.76 and 5,968

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Solution

The fourth proportional to 10,936, 15,091.76 and 5,968 is: 8,235.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,936 : 15,091.76 = 5,968 : x
  2. Step 2: Convert to fraction form
    10,936/15,091.76 = 5,968/x
  3. Step 3: Cross multiply
    10,936x = 15,091.76 × 5,968
  4. Step 4: Simplify right side
    10,936x = 90,067,623.68
  5. Step 5: Solve for x
    x = 90,067,623.68/10,936
  6. Step 6: Final answer
    x = 8,235.88

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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.