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Finding the Fourth Proportional to 10,644.35, 15,967.25 and 3,249.41

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Solution

The fourth proportional to 10,644.35, 15,967.25 and 3,249.41 is: 4,874.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.35 : 15,967.25 = 3,249.41 : x
  2. Step 2: Convert to fraction form
    10,644.35/15,967.25 = 3,249.41/x
  3. Step 3: Cross multiply
    10,644.35x = 15,967.25 × 3,249.41
  4. Step 4: Simplify right side
    10,644.35x = 51,884,125.58
  5. Step 5: Solve for x
    x = 51,884,125.58/10,644.35
  6. Step 6: Final answer
    x = 4,874.33

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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.