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Finding the Fourth Proportional to 6,710.70, 10,067.76 and 3,423.72

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Solution

The fourth proportional to 6,710.70, 10,067.76 and 3,423.72 is: 5,136.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.70 : 10,067.76 = 3,423.72 : x
  2. Step 2: Convert to fraction form
    6,710.70/10,067.76 = 3,423.72/x
  3. Step 3: Cross multiply
    6,710.70x = 10,067.76 × 3,423.72
  4. Step 4: Simplify right side
    6,710.70x = 34,469,191.27
  5. Step 5: Solve for x
    x = 34,469,191.27/6,710.70
  6. Step 6: Final answer
    x = 5,136.45

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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.