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Finding the Fourth Proportional to 8,183.65, 12,276.49 and 4,020.14

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Solution

The fourth proportional to 8,183.65, 12,276.49 and 4,020.14 is: 6,030.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.65 : 12,276.49 = 4,020.14 : x
  2. Step 2: Convert to fraction form
    8,183.65/12,276.49 = 4,020.14/x
  3. Step 3: Cross multiply
    8,183.65x = 12,276.49 × 4,020.14
  4. Step 4: Simplify right side
    8,183.65x = 49,353,208.51
  5. Step 5: Solve for x
    x = 49,353,208.51/8,183.65
  6. Step 6: Final answer
    x = 6,030.71

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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.