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Finding the Fourth Proportional to 6,856.94, 10,285.41 and 2,474.39

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Solution

The fourth proportional to 6,856.94, 10,285.41 and 2,474.39 is: 3,711.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.94 : 10,285.41 = 2,474.39 : x
  2. Step 2: Convert to fraction form
    6,856.94/10,285.41 = 2,474.39/x
  3. Step 3: Cross multiply
    6,856.94x = 10,285.41 × 2,474.39
  4. Step 4: Simplify right side
    6,856.94x = 25,450,115.65
  5. Step 5: Solve for x
    x = 25,450,115.65/6,856.94
  6. Step 6: Final answer
    x = 3,711.59

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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.