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Finding the Fourth Proportional to 11,917.66, 16,446.09 and 6,612.34

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Solution

The fourth proportional to 11,917.66, 16,446.09 and 6,612.34 is: 9,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.66 : 16,446.09 = 6,612.34 : x
  2. Step 2: Convert to fraction form
    11,917.66/16,446.09 = 6,612.34/x
  3. Step 3: Cross multiply
    11,917.66x = 16,446.09 × 6,612.34
  4. Step 4: Simplify right side
    11,917.66x = 108,747,138.75
  5. Step 5: Solve for x
    x = 108,747,138.75/11,917.66
  6. Step 6: Final answer
    x = 9,124.87

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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.