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Finding the Fourth Proportional to 8,238.88, 11,369.69 and 4,462.09

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Solution

The fourth proportional to 8,238.88, 11,369.69 and 4,462.09 is: 6,157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.88 : 11,369.69 = 4,462.09 : x
  2. Step 2: Convert to fraction form
    8,238.88/11,369.69 = 4,462.09/x
  3. Step 3: Cross multiply
    8,238.88x = 11,369.69 × 4,462.09
  4. Step 4: Simplify right side
    8,238.88x = 50,732,529.32
  5. Step 5: Solve for x
    x = 50,732,529.32/8,238.88
  6. Step 6: Final answer
    x = 6,157.70

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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.