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Finding the Fourth Proportional to 12,092.31, 16,686.48 and 6,786.11

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Solution

The fourth proportional to 12,092.31, 16,686.48 and 6,786.11 is: 9,364.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092.31 : 16,686.48 = 6,786.11 : x
  2. Step 2: Convert to fraction form
    12,092.31/16,686.48 = 6,786.11/x
  3. Step 3: Cross multiply
    12,092.31x = 16,686.48 × 6,786.11
  4. Step 4: Simplify right side
    12,092.31x = 113,236,200.46
  5. Step 5: Solve for x
    x = 113,236,200.46/12,092.31
  6. Step 6: Final answer
    x = 9,364.31

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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.