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Finding the Fourth Proportional to 8,212.44, 11,333.17 and 4,675.64

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Solution

The fourth proportional to 8,212.44, 11,333.17 and 4,675.64 is: 6,452.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.44 : 11,333.17 = 4,675.64 : x
  2. Step 2: Convert to fraction form
    8,212.44/11,333.17 = 4,675.64/x
  3. Step 3: Cross multiply
    8,212.44x = 11,333.17 × 4,675.64
  4. Step 4: Simplify right side
    8,212.44x = 52,989,809.61
  5. Step 5: Solve for x
    x = 52,989,809.61/8,212.44
  6. Step 6: Final answer
    x = 6,452.38

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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.