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Finding the Fourth Proportional to 11,096.92, 16,622.70 and 5,164.84

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Solution

The fourth proportional to 11,096.92, 16,622.70 and 5,164.84 is: 7,736.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,096.92 : 16,622.70 = 5,164.84 : x
  2. Step 2: Convert to fraction form
    11,096.92/16,622.70 = 5,164.84/x
  3. Step 3: Cross multiply
    11,096.92x = 16,622.70 × 5,164.84
  4. Step 4: Simplify right side
    11,096.92x = 85,853,585.87
  5. Step 5: Solve for x
    x = 85,853,585.87/11,096.92
  6. Step 6: Final answer
    x = 7,736.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.