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Finding the Fourth Proportional to 11,872.65, 16,383.96 and 6,836.76

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Solution

The fourth proportional to 11,872.65, 16,383.96 and 6,836.76 is: 9,434.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.65 : 16,383.96 = 6,836.76 : x
  2. Step 2: Convert to fraction form
    11,872.65/16,383.96 = 6,836.76/x
  3. Step 3: Cross multiply
    11,872.65x = 16,383.96 × 6,836.76
  4. Step 4: Simplify right side
    11,872.65x = 112,013,202.37
  5. Step 5: Solve for x
    x = 112,013,202.37/11,872.65
  6. Step 6: Final answer
    x = 9,434.56

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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.