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Finding the Fourth Proportional to 11,630.96, 17,446.22 and 3,311.04

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Solution

The fourth proportional to 11,630.96, 17,446.22 and 3,311.04 is: 4,966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.96 : 17,446.22 = 3,311.04 : x
  2. Step 2: Convert to fraction form
    11,630.96/17,446.22 = 3,311.04/x
  3. Step 3: Cross multiply
    11,630.96x = 17,446.22 × 3,311.04
  4. Step 4: Simplify right side
    11,630.96x = 57,765,132.27
  5. Step 5: Solve for x
    x = 57,765,132.27/11,630.96
  6. Step 6: Final answer
    x = 4,966.50

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Why These Related Problems?

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