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Finding the Fourth Proportional to 6,674.81, 10,012.14 and 2,778.30

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Solution

The fourth proportional to 6,674.81, 10,012.14 and 2,778.30 is: 4,167.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.81 : 10,012.14 = 2,778.30 : x
  2. Step 2: Convert to fraction form
    6,674.81/10,012.14 = 2,778.30/x
  3. Step 3: Cross multiply
    6,674.81x = 10,012.14 × 2,778.30
  4. Step 4: Simplify right side
    6,674.81x = 27,816,728.56
  5. Step 5: Solve for x
    x = 27,816,728.56/6,674.81
  6. Step 6: Final answer
    x = 4,167.42

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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.