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Finding the Fourth Proportional to 8,238.42, 12,342.12 and 4,073.55

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Solution

The fourth proportional to 8,238.42, 12,342.12 and 4,073.55 is: 6,102.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.42 : 12,342.12 = 4,073.55 : x
  2. Step 2: Convert to fraction form
    8,238.42/12,342.12 = 4,073.55/x
  3. Step 3: Cross multiply
    8,238.42x = 12,342.12 × 4,073.55
  4. Step 4: Simplify right side
    8,238.42x = 50,276,160.85
  5. Step 5: Solve for x
    x = 50,276,160.85/8,238.42
  6. Step 6: Final answer
    x = 6,102.65

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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.