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Finding the Fourth Proportional to 11,780.92, 17,673.97 and 6,523.58

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Solution

The fourth proportional to 11,780.92, 17,673.97 and 6,523.58 is: 9,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.92 : 17,673.97 = 6,523.58 : x
  2. Step 2: Convert to fraction form
    11,780.92/17,673.97 = 6,523.58/x
  3. Step 3: Cross multiply
    11,780.92x = 17,673.97 × 6,523.58
  4. Step 4: Simplify right side
    11,780.92x = 115,297,557.21
  5. Step 5: Solve for x
    x = 115,297,557.21/11,780.92
  6. Step 6: Final answer
    x = 9,786.80

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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.