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Finding the Fourth Proportional to 6,706.80, 10,057.37 and 3,586.14

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Solution

The fourth proportional to 6,706.80, 10,057.37 and 3,586.14 is: 5,377.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.80 : 10,057.37 = 3,586.14 : x
  2. Step 2: Convert to fraction form
    6,706.80/10,057.37 = 3,586.14/x
  3. Step 3: Cross multiply
    6,706.80x = 10,057.37 × 3,586.14
  4. Step 4: Simplify right side
    6,706.80x = 36,067,118.92
  5. Step 5: Solve for x
    x = 36,067,118.92/6,706.80
  6. Step 6: Final answer
    x = 5,377.69

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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.