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Finding the Fourth Proportional to 11,321.72, 16,964.12 and 6,929.96

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Solution

The fourth proportional to 11,321.72, 16,964.12 and 6,929.96 is: 10,383.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,321.72 : 16,964.12 = 6,929.96 : x
  2. Step 2: Convert to fraction form
    11,321.72/16,964.12 = 6,929.96/x
  3. Step 3: Cross multiply
    11,321.72x = 16,964.12 × 6,929.96
  4. Step 4: Simplify right side
    11,321.72x = 117,560,673.04
  5. Step 5: Solve for x
    x = 117,560,673.04/11,321.72
  6. Step 6: Final answer
    x = 10,383.64

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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.