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Finding the Fourth Proportional to 7,092.78, 9,787.41 and 4,107.66

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Solution

The fourth proportional to 7,092.78, 9,787.41 and 4,107.66 is: 5,668.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.78 : 9,787.41 = 4,107.66 : x
  2. Step 2: Convert to fraction form
    7,092.78/9,787.41 = 4,107.66/x
  3. Step 3: Cross multiply
    7,092.78x = 9,787.41 × 4,107.66
  4. Step 4: Simplify right side
    7,092.78x = 40,203,352.56
  5. Step 5: Solve for x
    x = 40,203,352.56/7,092.78
  6. Step 6: Final answer
    x = 5,668.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.