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Finding the Fourth Proportional to 8,234.08, 12,355.64 and 5,422.88

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Solution

The fourth proportional to 8,234.08, 12,355.64 and 5,422.88 is: 8,137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.08 : 12,355.64 = 5,422.88 : x
  2. Step 2: Convert to fraction form
    8,234.08/12,355.64 = 5,422.88/x
  3. Step 3: Cross multiply
    8,234.08x = 12,355.64 × 5,422.88
  4. Step 4: Simplify right side
    8,234.08x = 67,003,153.04
  5. Step 5: Solve for x
    x = 67,003,153.04/8,234.08
  6. Step 6: Final answer
    x = 8,137.30

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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.