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Finding the Fourth Proportional to 12,738.35, 17,587.68 and 7,960.37

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Solution

The fourth proportional to 12,738.35, 17,587.68 and 7,960.37 is: 10,990.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,738.35 : 17,587.68 = 7,960.37 : x
  2. Step 2: Convert to fraction form
    12,738.35/17,587.68 = 7,960.37/x
  3. Step 3: Cross multiply
    12,738.35x = 17,587.68 × 7,960.37
  4. Step 4: Simplify right side
    12,738.35x = 140,004,352.30
  5. Step 5: Solve for x
    x = 140,004,352.30/12,738.35
  6. Step 6: Final answer
    x = 10,990.78

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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.