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Finding the Fourth Proportional to 11,963.88, 17,945.88 and 5,043.24

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Solution

The fourth proportional to 11,963.88, 17,945.88 and 5,043.24 is: 7,564.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.88 : 17,945.88 = 5,043.24 : x
  2. Step 2: Convert to fraction form
    11,963.88/17,945.88 = 5,043.24/x
  3. Step 3: Cross multiply
    11,963.88x = 17,945.88 × 5,043.24
  4. Step 4: Simplify right side
    11,963.88x = 90,505,379.85
  5. Step 5: Solve for x
    x = 90,505,379.85/11,963.88
  6. Step 6: Final answer
    x = 7,564.89

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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.