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Finding the Fourth Proportional to 7,963.53, 11,942.22 and 3,801.39

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Solution

The fourth proportional to 7,963.53, 11,942.22 and 3,801.39 is: 5,700.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.53 : 11,942.22 = 3,801.39 : x
  2. Step 2: Convert to fraction form
    7,963.53/11,942.22 = 3,801.39/x
  3. Step 3: Cross multiply
    7,963.53x = 11,942.22 × 3,801.39
  4. Step 4: Simplify right side
    7,963.53x = 45,397,035.69
  5. Step 5: Solve for x
    x = 45,397,035.69/7,963.53
  6. Step 6: Final answer
    x = 5,700.62

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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.