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Finding the Fourth Proportional to 6,709.62, 10,059.57 and 3,379.92

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Solution

The fourth proportional to 6,709.62, 10,059.57 and 3,379.92 is: 5,067.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.62 : 10,059.57 = 3,379.92 : x
  2. Step 2: Convert to fraction form
    6,709.62/10,059.57 = 3,379.92/x
  3. Step 3: Cross multiply
    6,709.62x = 10,059.57 × 3,379.92
  4. Step 4: Simplify right side
    6,709.62x = 34,000,541.83
  5. Step 5: Solve for x
    x = 34,000,541.83/6,709.62
  6. Step 6: Final answer
    x = 5,067.43

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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.