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Finding the Fourth Proportional to 7,876.87, 11,814.39 and 2,033.02

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Solution

The fourth proportional to 7,876.87, 11,814.39 and 2,033.02 is: 3,049.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.87 : 11,814.39 = 2,033.02 : x
  2. Step 2: Convert to fraction form
    7,876.87/11,814.39 = 2,033.02/x
  3. Step 3: Cross multiply
    7,876.87x = 11,814.39 × 2,033.02
  4. Step 4: Simplify right side
    7,876.87x = 24,018,891.16
  5. Step 5: Solve for x
    x = 24,018,891.16/7,876.87
  6. Step 6: Final answer
    x = 3,049.29

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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.