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Finding the Fourth Proportional to 8,493.40, 12,733.62 and 3,296.44

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Solution

The fourth proportional to 8,493.40, 12,733.62 and 3,296.44 is: 4,942.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.40 : 12,733.62 = 3,296.44 : x
  2. Step 2: Convert to fraction form
    8,493.40/12,733.62 = 3,296.44/x
  3. Step 3: Cross multiply
    8,493.40x = 12,733.62 × 3,296.44
  4. Step 4: Simplify right side
    8,493.40x = 41,975,614.31
  5. Step 5: Solve for x
    x = 41,975,614.31/8,493.40
  6. Step 6: Final answer
    x = 4,942.14

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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.