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Finding the Fourth Proportional to 6,762.24, 10,135.08 and 3,843

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Solution

The fourth proportional to 6,762.24, 10,135.08 and 3,843 is: 5,759.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.24 : 10,135.08 = 3,843 : x
  2. Step 2: Convert to fraction form
    6,762.24/10,135.08 = 3,843/x
  3. Step 3: Cross multiply
    6,762.24x = 10,135.08 × 3,843
  4. Step 4: Simplify right side
    6,762.24x = 38,949,112.44
  5. Step 5: Solve for x
    x = 38,949,112.44/6,762.24
  6. Step 6: Final answer
    x = 5,759.79

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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.