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Finding the Fourth Proportional to 8,238.75, 11,369.42 and 4,461.83

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Solution

The fourth proportional to 8,238.75, 11,369.42 and 4,461.83 is: 6,157.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.75 : 11,369.42 = 4,461.83 : x
  2. Step 2: Convert to fraction form
    8,238.75/11,369.42 = 4,461.83/x
  3. Step 3: Cross multiply
    8,238.75x = 11,369.42 × 4,461.83
  4. Step 4: Simplify right side
    8,238.75x = 50,728,340.08
  5. Step 5: Solve for x
    x = 50,728,340.08/8,238.75
  6. Step 6: Final answer
    x = 6,157.29

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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.