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Finding the Fourth Proportional to 11,715.67, 16,166.82 and 6,680.10

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Solution

The fourth proportional to 11,715.67, 16,166.82 and 6,680.10 is: 9,218.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.67 : 16,166.82 = 6,680.10 : x
  2. Step 2: Convert to fraction form
    11,715.67/16,166.82 = 6,680.10/x
  3. Step 3: Cross multiply
    11,715.67x = 16,166.82 × 6,680.10
  4. Step 4: Simplify right side
    11,715.67x = 107,996,059.96
  5. Step 5: Solve for x
    x = 107,996,059.96/11,715.67
  6. Step 6: Final answer
    x = 9,218.09

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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.