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Finding the Fourth Proportional to 8,238.24, 12,357.84 and 3,620.64

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Solution

The fourth proportional to 8,238.24, 12,357.84 and 3,620.64 is: 5,431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.24 : 12,357.84 = 3,620.64 : x
  2. Step 2: Convert to fraction form
    8,238.24/12,357.84 = 3,620.64/x
  3. Step 3: Cross multiply
    8,238.24x = 12,357.84 × 3,620.64
  4. Step 4: Simplify right side
    8,238.24x = 44,743,289.82
  5. Step 5: Solve for x
    x = 44,743,289.82/8,238.24
  6. Step 6: Final answer
    x = 5,431.17

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