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Finding the Fourth Proportional to 11,537.91, 17,306.91 and 3,217.92

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Solution

The fourth proportional to 11,537.91, 17,306.91 and 3,217.92 is: 4,826.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.91 : 17,306.91 = 3,217.92 : x
  2. Step 2: Convert to fraction form
    11,537.91/17,306.91 = 3,217.92/x
  3. Step 3: Cross multiply
    11,537.91x = 17,306.91 × 3,217.92
  4. Step 4: Simplify right side
    11,537.91x = 55,692,251.83
  5. Step 5: Solve for x
    x = 55,692,251.83/11,537.91
  6. Step 6: Final answer
    x = 4,826.89

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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.