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Finding the Fourth Proportional to 6,286.23, 8,685.95 and 5,166.32

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Solution

The fourth proportional to 6,286.23, 8,685.95 and 5,166.32 is: 7,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.23 : 8,685.95 = 5,166.32 : x
  2. Step 2: Convert to fraction form
    6,286.23/8,685.95 = 5,166.32/x
  3. Step 3: Cross multiply
    6,286.23x = 8,685.95 × 5,166.32
  4. Step 4: Simplify right side
    6,286.23x = 44,874,327.94
  5. Step 5: Solve for x
    x = 44,874,327.94/6,286.23
  6. Step 6: Final answer
    x = 7,138.51

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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.