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Finding the Fourth Proportional to 11,732.76, 17,601.87 and 3,835.65

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Solution

The fourth proportional to 11,732.76, 17,601.87 and 3,835.65 is: 5,754.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.76 : 17,601.87 = 3,835.65 : x
  2. Step 2: Convert to fraction form
    11,732.76/17,601.87 = 3,835.65/x
  3. Step 3: Cross multiply
    11,732.76x = 17,601.87 × 3,835.65
  4. Step 4: Simplify right side
    11,732.76x = 67,514,612.67
  5. Step 5: Solve for x
    x = 67,514,612.67/11,732.76
  6. Step 6: Final answer
    x = 5,754.37

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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.