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Finding the Fourth Proportional to 11,872.13, 16,383.80 and 7,687.67

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Solution

The fourth proportional to 11,872.13, 16,383.80 and 7,687.67 is: 10,609.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.13 : 16,383.80 = 7,687.67 : x
  2. Step 2: Convert to fraction form
    11,872.13/16,383.80 = 7,687.67/x
  3. Step 3: Cross multiply
    11,872.13x = 16,383.80 × 7,687.67
  4. Step 4: Simplify right side
    11,872.13x = 125,953,185.05
  5. Step 5: Solve for x
    x = 125,953,185.05/11,872.13
  6. Step 6: Final answer
    x = 10,609.15

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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.