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Finding the Fourth Proportional to 7,926, 11,889.81 and 2,731.88

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Solution

The fourth proportional to 7,926, 11,889.81 and 2,731.88 is: 4,098.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,926 : 11,889.81 = 2,731.88 : x
  2. Step 2: Convert to fraction form
    7,926/11,889.81 = 2,731.88/x
  3. Step 3: Cross multiply
    7,926x = 11,889.81 × 2,731.88
  4. Step 4: Simplify right side
    7,926x = 32,481,474.69
  5. Step 5: Solve for x
    x = 32,481,474.69/7,926
  6. Step 6: Final answer
    x = 4,098.09

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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.