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Finding the Fourth Proportional to 11,519.34, 17,264.79 and 5,969.49

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Solution

The fourth proportional to 11,519.34, 17,264.79 and 5,969.49 is: 8,946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,519.34 : 17,264.79 = 5,969.49 : x
  2. Step 2: Convert to fraction form
    11,519.34/17,264.79 = 5,969.49/x
  3. Step 3: Cross multiply
    11,519.34x = 17,264.79 × 5,969.49
  4. Step 4: Simplify right side
    11,519.34x = 103,061,991.26
  5. Step 5: Solve for x
    x = 103,061,991.26/11,519.34
  6. Step 6: Final answer
    x = 8,946.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.