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Finding the Fourth Proportional to 11,757.27, 17,619.88 and 6,484.38

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Solution

The fourth proportional to 11,757.27, 17,619.88 and 6,484.38 is: 9,717.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.27 : 17,619.88 = 6,484.38 : x
  2. Step 2: Convert to fraction form
    11,757.27/17,619.88 = 6,484.38/x
  3. Step 3: Cross multiply
    11,757.27x = 17,619.88 × 6,484.38
  4. Step 4: Simplify right side
    11,757.27x = 114,253,997.47
  5. Step 5: Solve for x
    x = 114,253,997.47/11,757.27
  6. Step 6: Final answer
    x = 9,717.73

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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.