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Finding the Fourth Proportional to 11,682, 16,121.25 and 6,376.50

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Solution

The fourth proportional to 11,682, 16,121.25 and 6,376.50 is: 8,799.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682 : 16,121.25 = 6,376.50 : x
  2. Step 2: Convert to fraction form
    11,682/16,121.25 = 6,376.50/x
  3. Step 3: Cross multiply
    11,682x = 16,121.25 × 6,376.50
  4. Step 4: Simplify right side
    11,682x = 102,797,150.63
  5. Step 5: Solve for x
    x = 102,797,150.63/11,682
  6. Step 6: Final answer
    x = 8,799.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.