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Finding the Fourth Proportional to 6,782.43, 10,163.95 and 3,814.64

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Solution

The fourth proportional to 6,782.43, 10,163.95 and 3,814.64 is: 5,716.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.43 : 10,163.95 = 3,814.64 : x
  2. Step 2: Convert to fraction form
    6,782.43/10,163.95 = 3,814.64/x
  3. Step 3: Cross multiply
    6,782.43x = 10,163.95 × 3,814.64
  4. Step 4: Simplify right side
    6,782.43x = 38,771,810.23
  5. Step 5: Solve for x
    x = 38,771,810.23/6,782.43
  6. Step 6: Final answer
    x = 5,716.51

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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.