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Finding the Fourth Proportional to 6,811.27, 10,217.10 and 2,913.14

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Solution

The fourth proportional to 6,811.27, 10,217.10 and 2,913.14 is: 4,369.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.27 : 10,217.10 = 2,913.14 : x
  2. Step 2: Convert to fraction form
    6,811.27/10,217.10 = 2,913.14/x
  3. Step 3: Cross multiply
    6,811.27x = 10,217.10 × 2,913.14
  4. Step 4: Simplify right side
    6,811.27x = 29,763,842.69
  5. Step 5: Solve for x
    x = 29,763,842.69/6,811.27
  6. Step 6: Final answer
    x = 4,369.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.