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Finding the Fourth Proportional to 11,997.78, 17,983.23 and 4,092.93

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Solution

The fourth proportional to 11,997.78, 17,983.23 and 4,092.93 is: 6,134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,997.78 : 17,983.23 = 4,092.93 : x
  2. Step 2: Convert to fraction form
    11,997.78/17,983.23 = 4,092.93/x
  3. Step 3: Cross multiply
    11,997.78x = 17,983.23 × 4,092.93
  4. Step 4: Simplify right side
    11,997.78x = 73,604,101.56
  5. Step 5: Solve for x
    x = 73,604,101.56/11,997.78
  6. Step 6: Final answer
    x = 6,134.81

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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.