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Finding the Fourth Proportional to 11,682.84, 16,122.30 and 6,377.66

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Solution

The fourth proportional to 11,682.84, 16,122.30 and 6,377.66 is: 8,801.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.84 : 16,122.30 = 6,377.66 : x
  2. Step 2: Convert to fraction form
    11,682.84/16,122.30 = 6,377.66/x
  3. Step 3: Cross multiply
    11,682.84x = 16,122.30 × 6,377.66
  4. Step 4: Simplify right side
    11,682.84x = 102,822,467.21
  5. Step 5: Solve for x
    x = 102,822,467.21/11,682.84
  6. Step 6: Final answer
    x = 8,801.15

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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.