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Finding the Fourth Proportional to 11,839.56, 16,338.10 and 6,534.30

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Solution

The fourth proportional to 11,839.56, 16,338.10 and 6,534.30 is: 9,017.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,839.56 : 16,338.10 = 6,534.30 : x
  2. Step 2: Convert to fraction form
    11,839.56/16,338.10 = 6,534.30/x
  3. Step 3: Cross multiply
    11,839.56x = 16,338.10 × 6,534.30
  4. Step 4: Simplify right side
    11,839.56x = 106,758,046.83
  5. Step 5: Solve for x
    x = 106,758,046.83/11,839.56
  6. Step 6: Final answer
    x = 9,017.06

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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.