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Finding the Fourth Proportional to 8,144.21, 11,233.07 and 6,234.32

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Solution

The fourth proportional to 8,144.21, 11,233.07 and 6,234.32 is: 8,598.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.21 : 11,233.07 = 6,234.32 : x
  2. Step 2: Convert to fraction form
    8,144.21/11,233.07 = 6,234.32/x
  3. Step 3: Cross multiply
    8,144.21x = 11,233.07 × 6,234.32
  4. Step 4: Simplify right side
    8,144.21x = 70,030,521.79
  5. Step 5: Solve for x
    x = 70,030,521.79/8,144.21
  6. Step 6: Final answer
    x = 8,598.81

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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.