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Finding the Fourth Proportional to 11,969.82, 16,507.59 and 7,493.97

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Solution

The fourth proportional to 11,969.82, 16,507.59 and 7,493.97 is: 10,334.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.82 : 16,507.59 = 7,493.97 : x
  2. Step 2: Convert to fraction form
    11,969.82/16,507.59 = 7,493.97/x
  3. Step 3: Cross multiply
    11,969.82x = 16,507.59 × 7,493.97
  4. Step 4: Simplify right side
    11,969.82x = 123,707,384.23
  5. Step 5: Solve for x
    x = 123,707,384.23/11,969.82
  6. Step 6: Final answer
    x = 10,334.94

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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.