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Finding the Fourth Proportional to 11,991.58, 16,546.43 and 6,686.26

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Solution

The fourth proportional to 11,991.58, 16,546.43 and 6,686.26 is: 9,225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.58 : 16,546.43 = 6,686.26 : x
  2. Step 2: Convert to fraction form
    11,991.58/16,546.43 = 6,686.26/x
  3. Step 3: Cross multiply
    11,991.58x = 16,546.43 × 6,686.26
  4. Step 4: Simplify right side
    11,991.58x = 110,633,733.05
  5. Step 5: Solve for x
    x = 110,633,733.05/11,991.58
  6. Step 6: Final answer
    x = 9,225.95

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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.