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Finding the Fourth Proportional to 11,682.14, 16,121.57 and 6,377.14

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Solution

The fourth proportional to 11,682.14, 16,121.57 and 6,377.14 is: 8,800.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.14 : 16,121.57 = 6,377.14 : x
  2. Step 2: Convert to fraction form
    11,682.14/16,121.57 = 6,377.14/x
  3. Step 3: Cross multiply
    11,682.14x = 16,121.57 × 6,377.14
  4. Step 4: Simplify right side
    11,682.14x = 102,809,497.18
  5. Step 5: Solve for x
    x = 102,809,497.18/11,682.14
  6. Step 6: Final answer
    x = 8,800.57

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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.