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Finding the Fourth Proportional to 7,893.88, 11,833.92 and 2,963.61

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Solution

The fourth proportional to 7,893.88, 11,833.92 and 2,963.61 is: 4,442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.88 : 11,833.92 = 2,963.61 : x
  2. Step 2: Convert to fraction form
    7,893.88/11,833.92 = 2,963.61/x
  3. Step 3: Cross multiply
    7,893.88x = 11,833.92 × 2,963.61
  4. Step 4: Simplify right side
    7,893.88x = 35,071,123.65
  5. Step 5: Solve for x
    x = 35,071,123.65/7,893.88
  6. Step 6: Final answer
    x = 4,442.83

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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.