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Finding the Fourth Proportional to 8,157.27, 12,234.36 and 3,476.40

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Solution

The fourth proportional to 8,157.27, 12,234.36 and 3,476.40 is: 5,213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.27 : 12,234.36 = 3,476.40 : x
  2. Step 2: Convert to fraction form
    8,157.27/12,234.36 = 3,476.40/x
  3. Step 3: Cross multiply
    8,157.27x = 12,234.36 × 3,476.40
  4. Step 4: Simplify right side
    8,157.27x = 42,531,529.10
  5. Step 5: Solve for x
    x = 42,531,529.10/8,157.27
  6. Step 6: Final answer
    x = 5,213.94

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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.