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Finding the Fourth Proportional to 6,706.87, 10,057.33 and 3,586.29

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Solution

The fourth proportional to 6,706.87, 10,057.33 and 3,586.29 is: 5,377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.87 : 10,057.33 = 3,586.29 : x
  2. Step 2: Convert to fraction form
    6,706.87/10,057.33 = 3,586.29/x
  3. Step 3: Cross multiply
    6,706.87x = 10,057.33 × 3,586.29
  4. Step 4: Simplify right side
    6,706.87x = 36,068,468.77
  5. Step 5: Solve for x
    x = 36,068,468.77/6,706.87
  6. Step 6: Final answer
    x = 5,377.84

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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.