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Finding the Fourth Proportional to 8,286.33, 12,410.36 and 4,992.16

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Solution

The fourth proportional to 8,286.33, 12,410.36 and 4,992.16 is: 7,476.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.33 : 12,410.36 = 4,992.16 : x
  2. Step 2: Convert to fraction form
    8,286.33/12,410.36 = 4,992.16/x
  3. Step 3: Cross multiply
    8,286.33x = 12,410.36 × 4,992.16
  4. Step 4: Simplify right side
    8,286.33x = 61,954,477.82
  5. Step 5: Solve for x
    x = 61,954,477.82/8,286.33
  6. Step 6: Final answer
    x = 7,476.71

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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.