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Finding the Fourth Proportional to 6,680.30, 10,013.84 and 3,164.13

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Solution

The fourth proportional to 6,680.30, 10,013.84 and 3,164.13 is: 4,743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.30 : 10,013.84 = 3,164.13 : x
  2. Step 2: Convert to fraction form
    6,680.30/10,013.84 = 3,164.13/x
  3. Step 3: Cross multiply
    6,680.30x = 10,013.84 × 3,164.13
  4. Step 4: Simplify right side
    6,680.30x = 31,685,049.81
  5. Step 5: Solve for x
    x = 31,685,049.81/6,680.30
  6. Step 6: Final answer
    x = 4,743.06

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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.