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Finding the Fourth Proportional to 8,299.44, 11,453.28 and 4,573.44

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Solution

The fourth proportional to 8,299.44, 11,453.28 and 4,573.44 is: 6,311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.44 : 11,453.28 = 4,573.44 : x
  2. Step 2: Convert to fraction form
    8,299.44/11,453.28 = 4,573.44/x
  3. Step 3: Cross multiply
    8,299.44x = 11,453.28 × 4,573.44
  4. Step 4: Simplify right side
    8,299.44x = 52,380,888.88
  5. Step 5: Solve for x
    x = 52,380,888.88/8,299.44
  6. Step 6: Final answer
    x = 6,311.38

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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.