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Finding the Fourth Proportional to 7,841.99, 11,764.01 and 4,144.37

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Solution

The fourth proportional to 7,841.99, 11,764.01 and 4,144.37 is: 6,217.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.99 : 11,764.01 = 4,144.37 : x
  2. Step 2: Convert to fraction form
    7,841.99/11,764.01 = 4,144.37/x
  3. Step 3: Cross multiply
    7,841.99x = 11,764.01 × 4,144.37
  4. Step 4: Simplify right side
    7,841.99x = 48,754,361.66
  5. Step 5: Solve for x
    x = 48,754,361.66/7,841.99
  6. Step 6: Final answer
    x = 6,217.09

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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.