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Finding the Fourth Proportional to 12,757.64, 17,593.76 and 7,976.06

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Solution

The fourth proportional to 12,757.64, 17,593.76 and 7,976.06 is: 10,999.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.64 : 17,593.76 = 7,976.06 : x
  2. Step 2: Convert to fraction form
    12,757.64/17,593.76 = 7,976.06/x
  3. Step 3: Cross multiply
    12,757.64x = 17,593.76 × 7,976.06
  4. Step 4: Simplify right side
    12,757.64x = 140,328,757.54
  5. Step 5: Solve for x
    x = 140,328,757.54/12,757.64
  6. Step 6: Final answer
    x = 10,999.59

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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.