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Finding the Fourth Proportional to 11,682.84, 16,122.60 and 6,377.61

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Solution

The fourth proportional to 11,682.84, 16,122.60 and 6,377.61 is: 8,801.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.84 : 16,122.60 = 6,377.61 : x
  2. Step 2: Convert to fraction form
    11,682.84/16,122.60 = 6,377.61/x
  3. Step 3: Cross multiply
    11,682.84x = 16,122.60 × 6,377.61
  4. Step 4: Simplify right side
    11,682.84x = 102,823,654.99
  5. Step 5: Solve for x
    x = 102,823,654.99/11,682.84
  6. Step 6: Final answer
    x = 8,801.26

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