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Finding the Fourth Proportional to 8,239.20, 12,358.83 and 3,859.74

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Solution

The fourth proportional to 8,239.20, 12,358.83 and 3,859.74 is: 5,789.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.20 : 12,358.83 = 3,859.74 : x
  2. Step 2: Convert to fraction form
    8,239.20/12,358.83 = 3,859.74/x
  3. Step 3: Cross multiply
    8,239.20x = 12,358.83 × 3,859.74
  4. Step 4: Simplify right side
    8,239.20x = 47,701,870.50
  5. Step 5: Solve for x
    x = 47,701,870.50/8,239.20
  6. Step 6: Final answer
    x = 5,789.62

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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.