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Finding the Fourth Proportional to 7,974.74, 11,964.24 and 7,103.22

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Solution

The fourth proportional to 7,974.74, 11,964.24 and 7,103.22 is: 10,656.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.74 : 11,964.24 = 7,103.22 : x
  2. Step 2: Convert to fraction form
    7,974.74/11,964.24 = 7,103.22/x
  3. Step 3: Cross multiply
    7,974.74x = 11,964.24 × 7,103.22
  4. Step 4: Simplify right side
    7,974.74x = 84,984,628.85
  5. Step 5: Solve for x
    x = 84,984,628.85/7,974.74
  6. Step 6: Final answer
    x = 10,656.73

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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.