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Finding the Fourth Proportional to 6,857, 10,284.42 and 3,159.08

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Solution

The fourth proportional to 6,857, 10,284.42 and 3,159.08 is: 4,738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857 : 10,284.42 = 3,159.08 : x
  2. Step 2: Convert to fraction form
    6,857/10,284.42 = 3,159.08/x
  3. Step 3: Cross multiply
    6,857x = 10,284.42 × 3,159.08
  4. Step 4: Simplify right side
    6,857x = 32,489,305.53
  5. Step 5: Solve for x
    x = 32,489,305.53/6,857
  6. Step 6: Final answer
    x = 4,738.12

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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.