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Finding the Fourth Proportional to 7,963.88, 11,958.14 and 4,273.31

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Solution

The fourth proportional to 7,963.88, 11,958.14 and 4,273.31 is: 6,416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.88 : 11,958.14 = 4,273.31 : x
  2. Step 2: Convert to fraction form
    7,963.88/11,958.14 = 4,273.31/x
  3. Step 3: Cross multiply
    7,963.88x = 11,958.14 × 4,273.31
  4. Step 4: Simplify right side
    7,963.88x = 51,100,879.82
  5. Step 5: Solve for x
    x = 51,100,879.82/7,963.88
  6. Step 6: Final answer
    x = 6,416.58

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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.