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Finding the Fourth Proportional to 8,183.33, 12,271.50 and 4,020.74

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Solution

The fourth proportional to 8,183.33, 12,271.50 and 4,020.74 is: 6,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.33 : 12,271.50 = 4,020.74 : x
  2. Step 2: Convert to fraction form
    8,183.33/12,271.50 = 4,020.74/x
  3. Step 3: Cross multiply
    8,183.33x = 12,271.50 × 4,020.74
  4. Step 4: Simplify right side
    8,183.33x = 49,340,495.57
  5. Step 5: Solve for x
    x = 49,340,495.57/8,183.33
  6. Step 6: Final answer
    x = 6,029.39

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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.