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Finding the Fourth Proportional to 8,686.62, 11,991.96 and 6,029.46

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Solution

The fourth proportional to 8,686.62, 11,991.96 and 6,029.46 is: 8,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.62 : 11,991.96 = 6,029.46 : x
  2. Step 2: Convert to fraction form
    8,686.62/11,991.96 = 6,029.46/x
  3. Step 3: Cross multiply
    8,686.62x = 11,991.96 × 6,029.46
  4. Step 4: Simplify right side
    8,686.62x = 72,305,043.14
  5. Step 5: Solve for x
    x = 72,305,043.14/8,686.62
  6. Step 6: Final answer
    x = 8,323.73

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