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Finding the Fourth Proportional to 7,889.87, 11,833.89 and 2,046.02

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Solution

The fourth proportional to 7,889.87, 11,833.89 and 2,046.02 is: 3,068.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.87 : 11,833.89 = 2,046.02 : x
  2. Step 2: Convert to fraction form
    7,889.87/11,833.89 = 2,046.02/x
  3. Step 3: Cross multiply
    7,889.87x = 11,833.89 × 2,046.02
  4. Step 4: Simplify right side
    7,889.87x = 24,212,375.62
  5. Step 5: Solve for x
    x = 24,212,375.62/7,889.87
  6. Step 6: Final answer
    x = 3,068.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.