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Finding the Fourth Proportional to 7,057.26, 10,586.34 and 1,863

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Solution

The fourth proportional to 7,057.26, 10,586.34 and 1,863 is: 2,794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.26 : 10,586.34 = 1,863 : x
  2. Step 2: Convert to fraction form
    7,057.26/10,586.34 = 1,863/x
  3. Step 3: Cross multiply
    7,057.26x = 10,586.34 × 1,863
  4. Step 4: Simplify right side
    7,057.26x = 19,722,351.42
  5. Step 5: Solve for x
    x = 19,722,351.42/7,057.26
  6. Step 6: Final answer
    x = 2,794.62

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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.