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Finding the Fourth Proportional to 11,033.82, 15,228.81 and 7,250.31

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Solution

The fourth proportional to 11,033.82, 15,228.81 and 7,250.31 is: 10,006.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,033.82 : 15,228.81 = 7,250.31 : x
  2. Step 2: Convert to fraction form
    11,033.82/15,228.81 = 7,250.31/x
  3. Step 3: Cross multiply
    11,033.82x = 15,228.81 × 7,250.31
  4. Step 4: Simplify right side
    11,033.82x = 110,413,593.43
  5. Step 5: Solve for x
    x = 110,413,593.43/11,033.82
  6. Step 6: Final answer
    x = 10,006.83

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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.