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Finding the Fourth Proportional to 8,238.93, 11,369.72 and 4,462.12

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Solution

The fourth proportional to 8,238.93, 11,369.72 and 4,462.12 is: 6,157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.93 : 11,369.72 = 4,462.12 : x
  2. Step 2: Convert to fraction form
    8,238.93/11,369.72 = 4,462.12/x
  3. Step 3: Cross multiply
    8,238.93x = 11,369.72 × 4,462.12
  4. Step 4: Simplify right side
    8,238.93x = 50,733,055.01
  5. Step 5: Solve for x
    x = 50,733,055.01/8,238.93
  6. Step 6: Final answer
    x = 6,157.72

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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.