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Finding the Fourth Proportional to 8,099.98, 12,150.42 and 2,553.76

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Solution

The fourth proportional to 8,099.98, 12,150.42 and 2,553.76 is: 3,830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.98 : 12,150.42 = 2,553.76 : x
  2. Step 2: Convert to fraction form
    8,099.98/12,150.42 = 2,553.76/x
  3. Step 3: Cross multiply
    8,099.98x = 12,150.42 × 2,553.76
  4. Step 4: Simplify right side
    8,099.98x = 31,029,256.58
  5. Step 5: Solve for x
    x = 31,029,256.58/8,099.98
  6. Step 6: Final answer
    x = 3,830.78

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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.