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Finding the Fourth Proportional to 7,959.72, 11,942.68 and 3,281.96

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Solution

The fourth proportional to 7,959.72, 11,942.68 and 3,281.96 is: 4,924.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,959.72 : 11,942.68 = 3,281.96 : x
  2. Step 2: Convert to fraction form
    7,959.72/11,942.68 = 3,281.96/x
  3. Step 3: Cross multiply
    7,959.72x = 11,942.68 × 3,281.96
  4. Step 4: Simplify right side
    7,959.72x = 39,195,398.05
  5. Step 5: Solve for x
    x = 39,195,398.05/7,959.72
  6. Step 6: Final answer
    x = 4,924.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.