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Finding the Fourth Proportional to 6,680.16, 10,019.99 and 3,171.84

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Solution

The fourth proportional to 6,680.16, 10,019.99 and 3,171.84 is: 4,757.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.16 : 10,019.99 = 3,171.84 : x
  2. Step 2: Convert to fraction form
    6,680.16/10,019.99 = 3,171.84/x
  3. Step 3: Cross multiply
    6,680.16x = 10,019.99 × 3,171.84
  4. Step 4: Simplify right side
    6,680.16x = 31,781,789.22
  5. Step 5: Solve for x
    x = 31,781,789.22/6,680.16
  6. Step 6: Final answer
    x = 4,757.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.