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Finding the Fourth Proportional to 11,953.27, 17,930.46 and 3,634.48

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Solution

The fourth proportional to 11,953.27, 17,930.46 and 3,634.48 is: 5,451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.27 : 17,930.46 = 3,634.48 : x
  2. Step 2: Convert to fraction form
    11,953.27/17,930.46 = 3,634.48/x
  3. Step 3: Cross multiply
    11,953.27x = 17,930.46 × 3,634.48
  4. Step 4: Simplify right side
    11,953.27x = 65,167,898.26
  5. Step 5: Solve for x
    x = 65,167,898.26/11,953.27
  6. Step 6: Final answer
    x = 5,451.89

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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.