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Finding the Fourth Proportional to 26,847.88, 40,273.82 and 7,126

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Solution

The fourth proportional to 26,847.88, 40,273.82 and 7,126 is: 10,689.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,847.88 : 40,273.82 = 7,126 : x
  2. Step 2: Convert to fraction form
    26,847.88/40,273.82 = 7,126/x
  3. Step 3: Cross multiply
    26,847.88x = 40,273.82 × 7,126
  4. Step 4: Simplify right side
    26,847.88x = 286,991,241.32
  5. Step 5: Solve for x
    x = 286,991,241.32/26,847.88
  6. Step 6: Final answer
    x = 10,689.53

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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.