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Finding the Fourth Proportional to 11,722.73, 16,178.81 and 6,688.04

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Solution

The fourth proportional to 11,722.73, 16,178.81 and 6,688.04 is: 9,230.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.73 : 16,178.81 = 6,688.04 : x
  2. Step 2: Convert to fraction form
    11,722.73/16,178.81 = 6,688.04/x
  3. Step 3: Cross multiply
    11,722.73x = 16,178.81 × 6,688.04
  4. Step 4: Simplify right side
    11,722.73x = 108,204,414.10
  5. Step 5: Solve for x
    x = 108,204,414.10/11,722.73
  6. Step 6: Final answer
    x = 9,230.31

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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.