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Finding the Fourth Proportional to 11,321.83, 16,965.42 and 4,744.42

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Solution

The fourth proportional to 11,321.83, 16,965.42 and 4,744.42 is: 7,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,321.83 : 16,965.42 = 4,744.42 : x
  2. Step 2: Convert to fraction form
    11,321.83/16,965.42 = 4,744.42/x
  3. Step 3: Cross multiply
    11,321.83x = 16,965.42 × 4,744.42
  4. Step 4: Simplify right side
    11,321.83x = 80,491,153.21
  5. Step 5: Solve for x
    x = 80,491,153.21/11,321.83
  6. Step 6: Final answer
    x = 7,109.38

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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.