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Finding the Fourth Proportional to 8,285.34, 12,431.10 and 3,845.22

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Solution

The fourth proportional to 8,285.34, 12,431.10 and 3,845.22 is: 5,769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.34 : 12,431.10 = 3,845.22 : x
  2. Step 2: Convert to fraction form
    8,285.34/12,431.10 = 3,845.22/x
  3. Step 3: Cross multiply
    8,285.34x = 12,431.10 × 3,845.22
  4. Step 4: Simplify right side
    8,285.34x = 47,800,314.34
  5. Step 5: Solve for x
    x = 47,800,314.34/8,285.34
  6. Step 6: Final answer
    x = 5,769.26

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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.