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Finding the Fourth Proportional to 7,963.97, 11,940.48 and 3,519.50

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Solution

The fourth proportional to 7,963.97, 11,940.48 and 3,519.50 is: 5,276.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.97 : 11,940.48 = 3,519.50 : x
  2. Step 2: Convert to fraction form
    7,963.97/11,940.48 = 3,519.50/x
  3. Step 3: Cross multiply
    7,963.97x = 11,940.48 × 3,519.50
  4. Step 4: Simplify right side
    7,963.97x = 42,024,459.66
  5. Step 5: Solve for x
    x = 42,024,459.66/7,963.97
  6. Step 6: Final answer
    x = 5,276.83

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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.