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Finding the Fourth Proportional to 11,716.89, 16,169.37 and 7,239.63

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Solution

The fourth proportional to 11,716.89, 16,169.37 and 7,239.63 is: 9,990.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.89 : 16,169.37 = 7,239.63 : x
  2. Step 2: Convert to fraction form
    11,716.89/16,169.37 = 7,239.63/x
  3. Step 3: Cross multiply
    11,716.89x = 16,169.37 × 7,239.63
  4. Step 4: Simplify right side
    11,716.89x = 117,060,256.13
  5. Step 5: Solve for x
    x = 117,060,256.13/11,716.89
  6. Step 6: Final answer
    x = 9,990.73

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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.