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Finding the Fourth Proportional to 8,142.88, 12,214.83 and 2,299.94

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Solution

The fourth proportional to 8,142.88, 12,214.83 and 2,299.94 is: 3,450.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.88 : 12,214.83 = 2,299.94 : x
  2. Step 2: Convert to fraction form
    8,142.88/12,214.83 = 2,299.94/x
  3. Step 3: Cross multiply
    8,142.88x = 12,214.83 × 2,299.94
  4. Step 4: Simplify right side
    8,142.88x = 28,093,376.11
  5. Step 5: Solve for x
    x = 28,093,376.11/8,142.88
  6. Step 6: Final answer
    x = 3,450.05

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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.