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Finding the Fourth Proportional to 8,524.82, 12,795.54 and 5,244.32

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Solution

The fourth proportional to 8,524.82, 12,795.54 and 5,244.32 is: 7,871.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.82 : 12,795.54 = 5,244.32 : x
  2. Step 2: Convert to fraction form
    8,524.82/12,795.54 = 5,244.32/x
  3. Step 3: Cross multiply
    8,524.82x = 12,795.54 × 5,244.32
  4. Step 4: Simplify right side
    8,524.82x = 67,103,906.33
  5. Step 5: Solve for x
    x = 67,103,906.33/8,524.82
  6. Step 6: Final answer
    x = 7,871.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.