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Finding the Fourth Proportional to 10,234.46, 15,355.32 and 5,855.60

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Solution

The fourth proportional to 10,234.46, 15,355.32 and 5,855.60 is: 8,785.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.46 : 15,355.32 = 5,855.60 : x
  2. Step 2: Convert to fraction form
    10,234.46/15,355.32 = 5,855.60/x
  3. Step 3: Cross multiply
    10,234.46x = 15,355.32 × 5,855.60
  4. Step 4: Simplify right side
    10,234.46x = 89,914,611.79
  5. Step 5: Solve for x
    x = 89,914,611.79/10,234.46
  6. Step 6: Final answer
    x = 8,785.48

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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.