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Finding the Fourth Proportional to 6,785.61, 10,176.78 and 2,834.73

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Solution

The fourth proportional to 6,785.61, 10,176.78 and 2,834.73 is: 4,251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.61 : 10,176.78 = 2,834.73 : x
  2. Step 2: Convert to fraction form
    6,785.61/10,176.78 = 2,834.73/x
  3. Step 3: Cross multiply
    6,785.61x = 10,176.78 × 2,834.73
  4. Step 4: Simplify right side
    6,785.61x = 28,848,456.42
  5. Step 5: Solve for x
    x = 28,848,456.42/6,785.61
  6. Step 6: Final answer
    x = 4,251.42

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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.