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Finding the Fourth Proportional to 8,524, 12,777.36 and 3,596.32

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Solution

The fourth proportional to 8,524, 12,777.36 and 3,596.32 is: 5,390.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524 : 12,777.36 = 3,596.32 : x
  2. Step 2: Convert to fraction form
    8,524/12,777.36 = 3,596.32/x
  3. Step 3: Cross multiply
    8,524x = 12,777.36 × 3,596.32
  4. Step 4: Simplify right side
    8,524x = 45,951,475.32
  5. Step 5: Solve for x
    x = 45,951,475.32/8,524
  6. Step 6: Final answer
    x = 5,390.83

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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.