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Finding the Fourth Proportional to 8,286.36, 12,429.36 and 4,821

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Solution

The fourth proportional to 8,286.36, 12,429.36 and 4,821 is: 7,231.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.36 : 12,429.36 = 4,821 : x
  2. Step 2: Convert to fraction form
    8,286.36/12,429.36 = 4,821/x
  3. Step 3: Cross multiply
    8,286.36x = 12,429.36 × 4,821
  4. Step 4: Simplify right side
    8,286.36x = 59,921,944.56
  5. Step 5: Solve for x
    x = 59,921,944.56/8,286.36
  6. Step 6: Final answer
    x = 7,231.40

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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.