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Finding the Fourth Proportional to 8,299.55, 11,453.24 and 4,522.75

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Solution

The fourth proportional to 8,299.55, 11,453.24 and 4,522.75 is: 6,241.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.55 : 11,453.24 = 4,522.75 : x
  2. Step 2: Convert to fraction form
    8,299.55/11,453.24 = 4,522.75/x
  3. Step 3: Cross multiply
    8,299.55x = 11,453.24 × 4,522.75
  4. Step 4: Simplify right side
    8,299.55x = 51,800,141.21
  5. Step 5: Solve for x
    x = 51,800,141.21/8,299.55
  6. Step 6: Final answer
    x = 6,241.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.