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Finding the Fourth Proportional to 26,780.93, 40,163.28 and 8,056

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Solution

The fourth proportional to 26,780.93, 40,163.28 and 8,056 is: 12,081.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,780.93 : 40,163.28 = 8,056 : x
  2. Step 2: Convert to fraction form
    26,780.93/40,163.28 = 8,056/x
  3. Step 3: Cross multiply
    26,780.93x = 40,163.28 × 8,056
  4. Step 4: Simplify right side
    26,780.93x = 323,555,383.68
  5. Step 5: Solve for x
    x = 323,555,383.68/26,780.93
  6. Step 6: Final answer
    x = 12,081.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.