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Finding the Fourth Proportional to 11,622.57, 16,046.49 and 7,650.33

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Solution

The fourth proportional to 11,622.57, 16,046.49 and 7,650.33 is: 10,562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622.57 : 16,046.49 = 7,650.33 : x
  2. Step 2: Convert to fraction form
    11,622.57/16,046.49 = 7,650.33/x
  3. Step 3: Cross multiply
    11,622.57x = 16,046.49 × 7,650.33
  4. Step 4: Simplify right side
    11,622.57x = 122,760,943.84
  5. Step 5: Solve for x
    x = 122,760,943.84/11,622.57
  6. Step 6: Final answer
    x = 10,562.29

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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.