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Finding the Fourth Proportional to 7,644.87, 11,467.31 and 2,098.29

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Solution

The fourth proportional to 7,644.87, 11,467.31 and 2,098.29 is: 3,147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.87 : 11,467.31 = 2,098.29 : x
  2. Step 2: Convert to fraction form
    7,644.87/11,467.31 = 2,098.29/x
  3. Step 3: Cross multiply
    7,644.87x = 11,467.31 × 2,098.29
  4. Step 4: Simplify right side
    7,644.87x = 24,061,741.90
  5. Step 5: Solve for x
    x = 24,061,741.90/7,644.87
  6. Step 6: Final answer
    x = 3,147.44

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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.