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Finding the Fourth Proportional to 6,752.12, 10,129.26 and 2,857.64

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Solution

The fourth proportional to 6,752.12, 10,129.26 and 2,857.64 is: 4,286.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,752.12 : 10,129.26 = 2,857.64 : x
  2. Step 2: Convert to fraction form
    6,752.12/10,129.26 = 2,857.64/x
  3. Step 3: Cross multiply
    6,752.12x = 10,129.26 × 2,857.64
  4. Step 4: Simplify right side
    6,752.12x = 28,945,778.55
  5. Step 5: Solve for x
    x = 28,945,778.55/6,752.12
  6. Step 6: Final answer
    x = 4,286.92

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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.