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Finding the Fourth Proportional to 8,238.56, 12,361.92 and 5,117.64

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Solution

The fourth proportional to 8,238.56, 12,361.92 and 5,117.64 is: 7,678.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.56 : 12,361.92 = 5,117.64 : x
  2. Step 2: Convert to fraction form
    8,238.56/12,361.92 = 5,117.64/x
  3. Step 3: Cross multiply
    8,238.56x = 12,361.92 × 5,117.64
  4. Step 4: Simplify right side
    8,238.56x = 63,263,856.27
  5. Step 5: Solve for x
    x = 63,263,856.27/8,238.56
  6. Step 6: Final answer
    x = 7,678.99

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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.