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Finding the Fourth Proportional to 11,142.72, 16,713.24 and 3,245.30

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Solution

The fourth proportional to 11,142.72, 16,713.24 and 3,245.30 is: 4,867.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.72 : 16,713.24 = 3,245.30 : x
  2. Step 2: Convert to fraction form
    11,142.72/16,713.24 = 3,245.30/x
  3. Step 3: Cross multiply
    11,142.72x = 16,713.24 × 3,245.30
  4. Step 4: Simplify right side
    11,142.72x = 54,239,477.77
  5. Step 5: Solve for x
    x = 54,239,477.77/11,142.72
  6. Step 6: Final answer
    x = 4,867.71

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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.