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Finding the Fourth Proportional to 11,993.75, 16,551.38 and 7,025.75

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Solution

The fourth proportional to 11,993.75, 16,551.38 and 7,025.75 is: 9,695.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.75 : 16,551.38 = 7,025.75 : x
  2. Step 2: Convert to fraction form
    11,993.75/16,551.38 = 7,025.75/x
  3. Step 3: Cross multiply
    11,993.75x = 16,551.38 × 7,025.75
  4. Step 4: Simplify right side
    11,993.75x = 116,285,822.91
  5. Step 5: Solve for x
    x = 116,285,822.91/11,993.75
  6. Step 6: Final answer
    x = 9,695.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.