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Finding the Fourth Proportional to 6,872.08, 10,309.86 and 3,751.24

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Solution

The fourth proportional to 6,872.08, 10,309.86 and 3,751.24 is: 5,627.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.08 : 10,309.86 = 3,751.24 : x
  2. Step 2: Convert to fraction form
    6,872.08/10,309.86 = 3,751.24/x
  3. Step 3: Cross multiply
    6,872.08x = 10,309.86 × 3,751.24
  4. Step 4: Simplify right side
    6,872.08x = 38,674,759.23
  5. Step 5: Solve for x
    x = 38,674,759.23/6,872.08
  6. Step 6: Final answer
    x = 5,627.81

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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.