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Finding the Fourth Proportional to 8,197.53, 12,293.23 and 2,649.39

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Solution

The fourth proportional to 8,197.53, 12,293.23 and 2,649.39 is: 3,973.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.53 : 12,293.23 = 2,649.39 : x
  2. Step 2: Convert to fraction form
    8,197.53/12,293.23 = 2,649.39/x
  3. Step 3: Cross multiply
    8,197.53x = 12,293.23 × 2,649.39
  4. Step 4: Simplify right side
    8,197.53x = 32,569,525.70
  5. Step 5: Solve for x
    x = 32,569,525.70/8,197.53
  6. Step 6: Final answer
    x = 3,973.09

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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.