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Finding the Fourth Proportional to 6,856.14, 10,269.81 and 6,778.38

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Solution

The fourth proportional to 6,856.14, 10,269.81 and 6,778.38 is: 10,153.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.14 : 10,269.81 = 6,778.38 : x
  2. Step 2: Convert to fraction form
    6,856.14/10,269.81 = 6,778.38/x
  3. Step 3: Cross multiply
    6,856.14x = 10,269.81 × 6,778.38
  4. Step 4: Simplify right side
    6,856.14x = 69,612,674.71
  5. Step 5: Solve for x
    x = 69,612,674.71/6,856.14
  6. Step 6: Final answer
    x = 10,153.33

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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.