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Finding the Fourth Proportional to 6,857.55, 10,273.10 and 4,086.45

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Solution

The fourth proportional to 6,857.55, 10,273.10 and 4,086.45 is: 6,121.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.55 : 10,273.10 = 4,086.45 : x
  2. Step 2: Convert to fraction form
    6,857.55/10,273.10 = 4,086.45/x
  3. Step 3: Cross multiply
    6,857.55x = 10,273.10 × 4,086.45
  4. Step 4: Simplify right side
    6,857.55x = 41,980,489.06
  5. Step 5: Solve for x
    x = 41,980,489.06/6,857.55
  6. Step 6: Final answer
    x = 6,121.79

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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.