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Finding the Fourth Proportional to 6,286.61, 8,676.74 and 4,162.18

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Solution

The fourth proportional to 6,286.61, 8,676.74 and 4,162.18 is: 5,744.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.61 : 8,676.74 = 4,162.18 : x
  2. Step 2: Convert to fraction form
    6,286.61/8,676.74 = 4,162.18/x
  3. Step 3: Cross multiply
    6,286.61x = 8,676.74 × 4,162.18
  4. Step 4: Simplify right side
    6,286.61x = 36,114,153.69
  5. Step 5: Solve for x
    x = 36,114,153.69/6,286.61
  6. Step 6: Final answer
    x = 5,744.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.