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Finding the Fourth Proportional to 8,178.56, 11,277.24 and 5,190.56

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Solution

The fourth proportional to 8,178.56, 11,277.24 and 5,190.56 is: 7,157.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.56 : 11,277.24 = 5,190.56 : x
  2. Step 2: Convert to fraction form
    8,178.56/11,277.24 = 5,190.56/x
  3. Step 3: Cross multiply
    8,178.56x = 11,277.24 × 5,190.56
  4. Step 4: Simplify right side
    8,178.56x = 58,535,190.85
  5. Step 5: Solve for x
    x = 58,535,190.85/8,178.56
  6. Step 6: Final answer
    x = 7,157.15

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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.