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Finding the Fourth Proportional to 11,166.76, 16,757.08 and 6,958.27

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Solution

The fourth proportional to 11,166.76, 16,757.08 and 6,958.27 is: 10,441.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,166.76 : 16,757.08 = 6,958.27 : x
  2. Step 2: Convert to fraction form
    11,166.76/16,757.08 = 6,958.27/x
  3. Step 3: Cross multiply
    11,166.76x = 16,757.08 × 6,958.27
  4. Step 4: Simplify right side
    11,166.76x = 116,600,329.74
  5. Step 5: Solve for x
    x = 116,600,329.74/11,166.76
  6. Step 6: Final answer
    x = 10,441.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.