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Finding the Fourth Proportional to 12,086.64, 16,679.31 and 6,708.77

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Solution

The fourth proportional to 12,086.64, 16,679.31 and 6,708.77 is: 9,257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.64 : 16,679.31 = 6,708.77 : x
  2. Step 2: Convert to fraction form
    12,086.64/16,679.31 = 6,708.77/x
  3. Step 3: Cross multiply
    12,086.64x = 16,679.31 × 6,708.77
  4. Step 4: Simplify right side
    12,086.64x = 111,897,571.15
  5. Step 5: Solve for x
    x = 111,897,571.15/12,086.64
  6. Step 6: Final answer
    x = 9,257.96

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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.