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Finding the Fourth Proportional to 11,949.96, 16,489.74 and 6,644.28

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Solution

The fourth proportional to 11,949.96, 16,489.74 and 6,644.28 is: 9,168.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,949.96 : 16,489.74 = 6,644.28 : x
  2. Step 2: Convert to fraction form
    11,949.96/16,489.74 = 6,644.28/x
  3. Step 3: Cross multiply
    11,949.96x = 16,489.74 × 6,644.28
  4. Step 4: Simplify right side
    11,949.96x = 109,562,449.69
  5. Step 5: Solve for x
    x = 109,562,449.69/11,949.96
  6. Step 6: Final answer
    x = 9,168.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.