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Finding the Fourth Proportional to 11,839.66, 16,338.04 and 6,534.47

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Solution

The fourth proportional to 11,839.66, 16,338.04 and 6,534.47 is: 9,017.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,839.66 : 16,338.04 = 6,534.47 : x
  2. Step 2: Convert to fraction form
    11,839.66/16,338.04 = 6,534.47/x
  3. Step 3: Cross multiply
    11,839.66x = 16,338.04 × 6,534.47
  4. Step 4: Simplify right side
    11,839.66x = 106,760,456.75
  5. Step 5: Solve for x
    x = 106,760,456.75/11,839.66
  6. Step 6: Final answer
    x = 9,017.19

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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.