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Finding the Fourth Proportional to 8,352.78, 11,532.15 and 5,213.58

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Solution

The fourth proportional to 8,352.78, 11,532.15 and 5,213.58 is: 7,198.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.78 : 11,532.15 = 5,213.58 : x
  2. Step 2: Convert to fraction form
    8,352.78/11,532.15 = 5,213.58/x
  3. Step 3: Cross multiply
    8,352.78x = 11,532.15 × 5,213.58
  4. Step 4: Simplify right side
    8,352.78x = 60,123,786.60
  5. Step 5: Solve for x
    x = 60,123,786.60/8,352.78
  6. Step 6: Final answer
    x = 7,198.06

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1.5x scale

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.