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Finding the Fourth Proportional to 7,876.44, 11,814.21 and 2,033.34

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Solution

The fourth proportional to 7,876.44, 11,814.21 and 2,033.34 is: 3,049.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.44 : 11,814.21 = 2,033.34 : x
  2. Step 2: Convert to fraction form
    7,876.44/11,814.21 = 2,033.34/x
  3. Step 3: Cross multiply
    7,876.44x = 11,814.21 × 2,033.34
  4. Step 4: Simplify right side
    7,876.44x = 24,022,305.76
  5. Step 5: Solve for x
    x = 24,022,305.76/7,876.44
  6. Step 6: Final answer
    x = 3,049.89

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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.