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Finding the Fourth Proportional to 6,922.91, 10,385.74 and 2,540.41

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Solution

The fourth proportional to 6,922.91, 10,385.74 and 2,540.41 is: 3,811.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922.91 : 10,385.74 = 2,540.41 : x
  2. Step 2: Convert to fraction form
    6,922.91/10,385.74 = 2,540.41/x
  3. Step 3: Cross multiply
    6,922.91x = 10,385.74 × 2,540.41
  4. Step 4: Simplify right side
    6,922.91x = 26,384,037.75
  5. Step 5: Solve for x
    x = 26,384,037.75/6,922.91
  6. Step 6: Final answer
    x = 3,811.12

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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.