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Finding the Fourth Proportional to 11,936, 17,903.96 and 6,741.84

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Solution

The fourth proportional to 11,936, 17,903.96 and 6,741.84 is: 10,112.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,936 : 17,903.96 = 6,741.84 : x
  2. Step 2: Convert to fraction form
    11,936/17,903.96 = 6,741.84/x
  3. Step 3: Cross multiply
    11,936x = 17,903.96 × 6,741.84
  4. Step 4: Simplify right side
    11,936x = 120,705,633.69
  5. Step 5: Solve for x
    x = 120,705,633.69/11,936
  6. Step 6: Final answer
    x = 10,112.74

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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.