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Finding the Fourth Proportional to 11,839.68, 16,338.28 and 6,534.42

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Solution

The fourth proportional to 11,839.68, 16,338.28 and 6,534.42 is: 9,017.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,839.68 : 16,338.28 = 6,534.42 : x
  2. Step 2: Convert to fraction form
    11,839.68/16,338.28 = 6,534.42/x
  3. Step 3: Cross multiply
    11,839.68x = 16,338.28 × 6,534.42
  4. Step 4: Simplify right side
    11,839.68x = 106,761,183.60
  5. Step 5: Solve for x
    x = 106,761,183.60/11,839.68
  6. Step 6: Final answer
    x = 9,017.24

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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.