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Finding the Fourth Proportional to 11,682.16, 16,121.74 and 6,377.32

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Solution

The fourth proportional to 11,682.16, 16,121.74 and 6,377.32 is: 8,800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.16 : 16,121.74 = 6,377.32 : x
  2. Step 2: Convert to fraction form
    11,682.16/16,121.74 = 6,377.32/x
  3. Step 3: Cross multiply
    11,682.16x = 16,121.74 × 6,377.32
  4. Step 4: Simplify right side
    11,682.16x = 102,813,494.94
  5. Step 5: Solve for x
    x = 102,813,494.94/11,682.16
  6. Step 6: Final answer
    x = 8,800.90

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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.