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Finding the Fourth Proportional to 8,197.44, 12,299.53 and 2,933.11

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Solution

The fourth proportional to 8,197.44, 12,299.53 and 2,933.11 is: 4,400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.44 : 12,299.53 = 2,933.11 : x
  2. Step 2: Convert to fraction form
    8,197.44/12,299.53 = 2,933.11/x
  3. Step 3: Cross multiply
    8,197.44x = 12,299.53 × 2,933.11
  4. Step 4: Simplify right side
    8,197.44x = 36,075,874.44
  5. Step 5: Solve for x
    x = 36,075,874.44/8,197.44
  6. Step 6: Final answer
    x = 4,400.87

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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.