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Finding the Fourth Proportional to 11,883.69, 17,825.49 and 4,092.48

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Solution

The fourth proportional to 11,883.69, 17,825.49 and 4,092.48 is: 6,138.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.69 : 17,825.49 = 4,092.48 : x
  2. Step 2: Convert to fraction form
    11,883.69/17,825.49 = 4,092.48/x
  3. Step 3: Cross multiply
    11,883.69x = 17,825.49 × 4,092.48
  4. Step 4: Simplify right side
    11,883.69x = 72,950,461.32
  5. Step 5: Solve for x
    x = 72,950,461.32/11,883.69
  6. Step 6: Final answer
    x = 6,138.70

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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.