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Finding the Fourth Proportional to 7,954.73, 11,913.92 and 3,797.66

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Solution

The fourth proportional to 7,954.73, 11,913.92 and 3,797.66 is: 5,687.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.73 : 11,913.92 = 3,797.66 : x
  2. Step 2: Convert to fraction form
    7,954.73/11,913.92 = 3,797.66/x
  3. Step 3: Cross multiply
    7,954.73x = 11,913.92 × 3,797.66
  4. Step 4: Simplify right side
    7,954.73x = 45,245,017.43
  5. Step 5: Solve for x
    x = 45,245,017.43/7,954.73
  6. Step 6: Final answer
    x = 5,687.81

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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.