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Finding the Fourth Proportional to 8,197.24, 12,295.78 and 2,353.84

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Solution

The fourth proportional to 8,197.24, 12,295.78 and 2,353.84 is: 3,530.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.24 : 12,295.78 = 2,353.84 : x
  2. Step 2: Convert to fraction form
    8,197.24/12,295.78 = 2,353.84/x
  3. Step 3: Cross multiply
    8,197.24x = 12,295.78 × 2,353.84
  4. Step 4: Simplify right side
    8,197.24x = 28,942,298.80
  5. Step 5: Solve for x
    x = 28,942,298.80/8,197.24
  6. Step 6: Final answer
    x = 3,530.74

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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.