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Finding the Fourth Proportional to 7,932.66, 11,898.30 and 3,251.33

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Solution

The fourth proportional to 7,932.66, 11,898.30 and 3,251.33 is: 4,876.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.66 : 11,898.30 = 3,251.33 : x
  2. Step 2: Convert to fraction form
    7,932.66/11,898.30 = 3,251.33/x
  3. Step 3: Cross multiply
    7,932.66x = 11,898.30 × 3,251.33
  4. Step 4: Simplify right side
    7,932.66x = 38,685,299.74
  5. Step 5: Solve for x
    x = 38,685,299.74/7,932.66
  6. Step 6: Final answer
    x = 4,876.71

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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.