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Finding the Fourth Proportional to 8,299.24, 11,452.74 and 4,573

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Solution

The fourth proportional to 8,299.24, 11,452.74 and 4,573 is: 6,310.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.24 : 11,452.74 = 4,573 : x
  2. Step 2: Convert to fraction form
    8,299.24/11,452.74 = 4,573/x
  3. Step 3: Cross multiply
    8,299.24x = 11,452.74 × 4,573
  4. Step 4: Simplify right side
    8,299.24x = 52,373,380.02
  5. Step 5: Solve for x
    x = 52,373,380.02/8,299.24
  6. Step 6: Final answer
    x = 6,310.62

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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.