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Finding the Fourth Proportional to 11,630.42, 17,446.20 and 3,311.02

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Solution

The fourth proportional to 11,630.42, 17,446.20 and 3,311.02 is: 4,966.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.42 : 17,446.20 = 3,311.02 : x
  2. Step 2: Convert to fraction form
    11,630.42/17,446.20 = 3,311.02/x
  3. Step 3: Cross multiply
    11,630.42x = 17,446.20 × 3,311.02
  4. Step 4: Simplify right side
    11,630.42x = 57,764,717.12
  5. Step 5: Solve for x
    x = 57,764,717.12/11,630.42
  6. Step 6: Final answer
    x = 4,966.69

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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.