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Finding the Fourth Proportional to 7,644.98, 11,467.46 and 2,098.35

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Solution

The fourth proportional to 7,644.98, 11,467.46 and 2,098.35 is: 3,147.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.98 : 11,467.46 = 2,098.35 : x
  2. Step 2: Convert to fraction form
    7,644.98/11,467.46 = 2,098.35/x
  3. Step 3: Cross multiply
    7,644.98x = 11,467.46 × 2,098.35
  4. Step 4: Simplify right side
    7,644.98x = 24,062,749.94
  5. Step 5: Solve for x
    x = 24,062,749.94/7,644.98
  6. Step 6: Final answer
    x = 3,147.53

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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.