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Finding the Fourth Proportional to 8,285.16, 12,410.96 and 3,836.56

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Solution

The fourth proportional to 8,285.16, 12,410.96 and 3,836.56 is: 5,747.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.16 : 12,410.96 = 3,836.56 : x
  2. Step 2: Convert to fraction form
    8,285.16/12,410.96 = 3,836.56/x
  3. Step 3: Cross multiply
    8,285.16x = 12,410.96 × 3,836.56
  4. Step 4: Simplify right side
    8,285.16x = 47,615,392.70
  5. Step 5: Solve for x
    x = 47,615,392.70/8,285.16
  6. Step 6: Final answer
    x = 5,747.07

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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.