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Finding the Fourth Proportional to 11,173.96, 16,760.97 and 3,382.84

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Solution

The fourth proportional to 11,173.96, 16,760.97 and 3,382.84 is: 5,074.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,173.96 : 16,760.97 = 3,382.84 : x
  2. Step 2: Convert to fraction form
    11,173.96/16,760.97 = 3,382.84/x
  3. Step 3: Cross multiply
    11,173.96x = 16,760.97 × 3,382.84
  4. Step 4: Simplify right side
    11,173.96x = 56,699,679.75
  5. Step 5: Solve for x
    x = 56,699,679.75/11,173.96
  6. Step 6: Final answer
    x = 5,074.27

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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.