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Finding the Fourth Proportional to 11,267.97, 16,896.42 and 6,589.17

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Solution

The fourth proportional to 11,267.97, 16,896.42 and 6,589.17 is: 9,880.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,267.97 : 16,896.42 = 6,589.17 : x
  2. Step 2: Convert to fraction form
    11,267.97/16,896.42 = 6,589.17/x
  3. Step 3: Cross multiply
    11,267.97x = 16,896.42 × 6,589.17
  4. Step 4: Simplify right side
    11,267.97x = 111,333,383.77
  5. Step 5: Solve for x
    x = 111,333,383.77/11,267.97
  6. Step 6: Final answer
    x = 9,880.52

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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.