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Finding the Fourth Proportional to 11,989, 16,544.89 and 6,538.04

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Solution

The fourth proportional to 11,989, 16,544.89 and 6,538.04 is: 9,022.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,989 : 16,544.89 = 6,538.04 : x
  2. Step 2: Convert to fraction form
    11,989/16,544.89 = 6,538.04/x
  3. Step 3: Cross multiply
    11,989x = 16,544.89 × 6,538.04
  4. Step 4: Simplify right side
    11,989x = 108,171,152.62
  5. Step 5: Solve for x
    x = 108,171,152.62/11,989
  6. Step 6: Final answer
    x = 9,022.53

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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.