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Finding the Fourth Proportional to 11,989.97, 16,548.32 and 7,517.60

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Solution

The fourth proportional to 11,989.97, 16,548.32 and 7,517.60 is: 10,375.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,989.97 : 16,548.32 = 7,517.60 : x
  2. Step 2: Convert to fraction form
    11,989.97/16,548.32 = 7,517.60/x
  3. Step 3: Cross multiply
    11,989.97x = 16,548.32 × 7,517.60
  4. Step 4: Simplify right side
    11,989.97x = 124,403,650.43
  5. Step 5: Solve for x
    x = 124,403,650.43/11,989.97
  6. Step 6: Final answer
    x = 10,375.64

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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.