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Finding the Fourth Proportional to 7,092.12, 9,787.26 and 4,108.20

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Solution

The fourth proportional to 7,092.12, 9,787.26 and 4,108.20 is: 5,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.12 : 9,787.26 = 4,108.20 : x
  2. Step 2: Convert to fraction form
    7,092.12/9,787.26 = 4,108.20/x
  3. Step 3: Cross multiply
    7,092.12x = 9,787.26 × 4,108.20
  4. Step 4: Simplify right side
    7,092.12x = 40,208,021.53
  5. Step 5: Solve for x
    x = 40,208,021.53/7,092.12
  6. Step 6: Final answer
    x = 5,669.39

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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.