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Finding the Fourth Proportional to 11,166.85, 16,744.20 and 4,146.58

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Solution

The fourth proportional to 11,166.85, 16,744.20 and 4,146.58 is: 6,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,166.85 : 16,744.20 = 4,146.58 : x
  2. Step 2: Convert to fraction form
    11,166.85/16,744.20 = 4,146.58/x
  3. Step 3: Cross multiply
    11,166.85x = 16,744.20 × 4,146.58
  4. Step 4: Simplify right side
    11,166.85x = 69,431,164.84
  5. Step 5: Solve for x
    x = 69,431,164.84/11,166.85
  6. Step 6: Final answer
    x = 6,217.61

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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.