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Finding the Fourth Proportional to 8,239.12, 11,369.99 and 4,462.29

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Solution

The fourth proportional to 8,239.12, 11,369.99 and 4,462.29 is: 6,157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.12 : 11,369.99 = 4,462.29 : x
  2. Step 2: Convert to fraction form
    8,239.12/11,369.99 = 4,462.29/x
  3. Step 3: Cross multiply
    8,239.12x = 11,369.99 × 4,462.29
  4. Step 4: Simplify right side
    8,239.12x = 50,736,203.83
  5. Step 5: Solve for x
    x = 50,736,203.83/8,239.12
  6. Step 6: Final answer
    x = 6,157.97

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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.