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Finding the Fourth Proportional to 26,478.28, 39,723.50 and 7,757.88

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Solution

The fourth proportional to 26,478.28, 39,723.50 and 7,757.88 is: 11,638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,478.28 : 39,723.50 = 7,757.88 : x
  2. Step 2: Convert to fraction form
    26,478.28/39,723.50 = 7,757.88/x
  3. Step 3: Cross multiply
    26,478.28x = 39,723.50 × 7,757.88
  4. Step 4: Simplify right side
    26,478.28x = 308,170,146.18
  5. Step 5: Solve for x
    x = 308,170,146.18/26,478.28
  6. Step 6: Final answer
    x = 11,638.60

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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.