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Finding the Fourth Proportional to 8,149.60, 12,223.99 and 2,882.98

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Solution

The fourth proportional to 8,149.60, 12,223.99 and 2,882.98 is: 4,324.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.60 : 12,223.99 = 2,882.98 : x
  2. Step 2: Convert to fraction form
    8,149.60/12,223.99 = 2,882.98/x
  3. Step 3: Cross multiply
    8,149.60x = 12,223.99 × 2,882.98
  4. Step 4: Simplify right side
    8,149.60x = 35,241,518.69
  5. Step 5: Solve for x
    x = 35,241,518.69/8,149.60
  6. Step 6: Final answer
    x = 4,324.32

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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.