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Finding the Fourth Proportional to 11,917.44, 16,446.84 and 6,881.88

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Solution

The fourth proportional to 11,917.44, 16,446.84 and 6,881.88 is: 9,497.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.44 : 16,446.84 = 6,881.88 : x
  2. Step 2: Convert to fraction form
    11,917.44/16,446.84 = 6,881.88/x
  3. Step 3: Cross multiply
    11,917.44x = 16,446.84 × 6,881.88
  4. Step 4: Simplify right side
    11,917.44x = 113,185,179.26
  5. Step 5: Solve for x
    x = 113,185,179.26/11,917.44
  6. Step 6: Final answer
    x = 9,497.44

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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.