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Finding the Fourth Proportional to 6,961.82, 10,440.11 and 2,800.41

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Solution

The fourth proportional to 6,961.82, 10,440.11 and 2,800.41 is: 4,199.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.82 : 10,440.11 = 2,800.41 : x
  2. Step 2: Convert to fraction form
    6,961.82/10,440.11 = 2,800.41/x
  3. Step 3: Cross multiply
    6,961.82x = 10,440.11 × 2,800.41
  4. Step 4: Simplify right side
    6,961.82x = 29,236,574.44
  5. Step 5: Solve for x
    x = 29,236,574.44/6,961.82
  6. Step 6: Final answer
    x = 4,199.56

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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.