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Finding the Fourth Proportional to 11,917.22, 16,446.53 and 6,881.64

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Solution

The fourth proportional to 11,917.22, 16,446.53 and 6,881.64 is: 9,497.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.22 : 16,446.53 = 6,881.64 : x
  2. Step 2: Convert to fraction form
    11,917.22/16,446.53 = 6,881.64/x
  3. Step 3: Cross multiply
    11,917.22x = 16,446.53 × 6,881.64
  4. Step 4: Simplify right side
    11,917.22x = 113,179,064.30
  5. Step 5: Solve for x
    x = 113,179,064.30/11,917.22
  6. Step 6: Final answer
    x = 9,497.11

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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.