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Finding the Fourth Proportional to 6,924.69, 10,377.06 and 2,974.92

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Solution

The fourth proportional to 6,924.69, 10,377.06 and 2,974.92 is: 4,458.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.69 : 10,377.06 = 2,974.92 : x
  2. Step 2: Convert to fraction form
    6,924.69/10,377.06 = 2,974.92/x
  3. Step 3: Cross multiply
    6,924.69x = 10,377.06 × 2,974.92
  4. Step 4: Simplify right side
    6,924.69x = 30,870,923.34
  5. Step 5: Solve for x
    x = 30,870,923.34/6,924.69
  6. Step 6: Final answer
    x = 4,458.09

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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.