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Finding the Fourth Proportional to 11,917.94, 16,446.85 and 6,612.84

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Solution

The fourth proportional to 11,917.94, 16,446.85 and 6,612.84 is: 9,125.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.94 : 16,446.85 = 6,612.84 : x
  2. Step 2: Convert to fraction form
    11,917.94/16,446.85 = 6,612.84/x
  3. Step 3: Cross multiply
    11,917.94x = 16,446.85 × 6,612.84
  4. Step 4: Simplify right side
    11,917.94x = 108,760,371.02
  5. Step 5: Solve for x
    x = 108,760,371.02/11,917.94
  6. Step 6: Final answer
    x = 9,125.77

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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.