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Finding the Fourth Proportional to 11,680.92, 16,120.08 and 6,376.10

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Solution

The fourth proportional to 11,680.92, 16,120.08 and 6,376.10 is: 8,799.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.92 : 16,120.08 = 6,376.10 : x
  2. Step 2: Convert to fraction form
    11,680.92/16,120.08 = 6,376.10/x
  3. Step 3: Cross multiply
    11,680.92x = 16,120.08 × 6,376.10
  4. Step 4: Simplify right side
    11,680.92x = 102,783,161.49
  5. Step 5: Solve for x
    x = 102,783,161.49/11,680.92
  6. Step 6: Final answer
    x = 8,799.24

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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.