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Finding the Fourth Proportional to 8,527.56, 12,791.40 and 8,155.80

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Solution

The fourth proportional to 8,527.56, 12,791.40 and 8,155.80 is: 12,233.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.56 : 12,791.40 = 8,155.80 : x
  2. Step 2: Convert to fraction form
    8,527.56/12,791.40 = 8,155.80/x
  3. Step 3: Cross multiply
    8,527.56x = 12,791.40 × 8,155.80
  4. Step 4: Simplify right side
    8,527.56x = 104,324,100.12
  5. Step 5: Solve for x
    x = 104,324,100.12/8,527.56
  6. Step 6: Final answer
    x = 12,233.76

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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.