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Finding the Fourth Proportional to 11,682.06, 16,121.30 and 6,377

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Solution

The fourth proportional to 11,682.06, 16,121.30 and 6,377 is: 8,800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.06 : 16,121.30 = 6,377 : x
  2. Step 2: Convert to fraction form
    11,682.06/16,121.30 = 6,377/x
  3. Step 3: Cross multiply
    11,682.06x = 16,121.30 × 6,377
  4. Step 4: Simplify right side
    11,682.06x = 102,805,530.10
  5. Step 5: Solve for x
    x = 102,805,530.10/11,682.06
  6. Step 6: Final answer
    x = 8,800.29

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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.