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Finding the Fourth Proportional to 6,711.67, 10,068.19 and 3,201.08

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Solution

The fourth proportional to 6,711.67, 10,068.19 and 3,201.08 is: 4,801.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.67 : 10,068.19 = 3,201.08 : x
  2. Step 2: Convert to fraction form
    6,711.67/10,068.19 = 3,201.08/x
  3. Step 3: Cross multiply
    6,711.67x = 10,068.19 × 3,201.08
  4. Step 4: Simplify right side
    6,711.67x = 32,229,081.65
  5. Step 5: Solve for x
    x = 32,229,081.65/6,711.67
  6. Step 6: Final answer
    x = 4,801.95

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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.