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Finding the Fourth Proportional to 6,944.94, 10,418.22 and 2,786.40

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Solution

The fourth proportional to 6,944.94, 10,418.22 and 2,786.40 is: 4,179.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.94 : 10,418.22 = 2,786.40 : x
  2. Step 2: Convert to fraction form
    6,944.94/10,418.22 = 2,786.40/x
  3. Step 3: Cross multiply
    6,944.94x = 10,418.22 × 2,786.40
  4. Step 4: Simplify right side
    6,944.94x = 29,029,328.21
  5. Step 5: Solve for x
    x = 29,029,328.21/6,944.94
  6. Step 6: Final answer
    x = 4,179.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.