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Finding the Fourth Proportional to 10,644.36, 15,967.49 and 3,249.60

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Solution

The fourth proportional to 10,644.36, 15,967.49 and 3,249.60 is: 4,874.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.36 : 15,967.49 = 3,249.60 : x
  2. Step 2: Convert to fraction form
    10,644.36/15,967.49 = 3,249.60/x
  3. Step 3: Cross multiply
    10,644.36x = 15,967.49 × 3,249.60
  4. Step 4: Simplify right side
    10,644.36x = 51,887,939.26
  5. Step 5: Solve for x
    x = 51,887,939.26/10,644.36
  6. Step 6: Final answer
    x = 4,874.69

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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.