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Finding the Fourth Proportional to 11,926.44, 17,881.02 and 6,006.96

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Solution

The fourth proportional to 11,926.44, 17,881.02 and 6,006.96 is: 9,006.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,926.44 : 17,881.02 = 6,006.96 : x
  2. Step 2: Convert to fraction form
    11,926.44/17,881.02 = 6,006.96/x
  3. Step 3: Cross multiply
    11,926.44x = 17,881.02 × 6,006.96
  4. Step 4: Simplify right side
    11,926.44x = 107,410,571.90
  5. Step 5: Solve for x
    x = 107,410,571.90/11,926.44
  6. Step 6: Final answer
    x = 9,006.09

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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.