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Finding the Fourth Proportional to 6,942.96, 10,416.05 and 2,012.69

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Solution

The fourth proportional to 6,942.96, 10,416.05 and 2,012.69 is: 3,019.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.96 : 10,416.05 = 2,012.69 : x
  2. Step 2: Convert to fraction form
    6,942.96/10,416.05 = 2,012.69/x
  3. Step 3: Cross multiply
    6,942.96x = 10,416.05 × 2,012.69
  4. Step 4: Simplify right side
    6,942.96x = 20,964,310.75
  5. Step 5: Solve for x
    x = 20,964,310.75/6,942.96
  6. Step 6: Final answer
    x = 3,019.51

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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.