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Finding the Fourth Proportional to 8,372.88, 12,563.64 and 3,446.16

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Solution

The fourth proportional to 8,372.88, 12,563.64 and 3,446.16 is: 5,171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,372.88 : 12,563.64 = 3,446.16 : x
  2. Step 2: Convert to fraction form
    8,372.88/12,563.64 = 3,446.16/x
  3. Step 3: Cross multiply
    8,372.88x = 12,563.64 × 3,446.16
  4. Step 4: Simplify right side
    8,372.88x = 43,296,313.62
  5. Step 5: Solve for x
    x = 43,296,313.62/8,372.88
  6. Step 6: Final answer
    x = 5,171.02

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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.