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Finding the Fourth Proportional to 6,711.63, 10,067.46 and 2,329.09

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Solution

The fourth proportional to 6,711.63, 10,067.46 and 2,329.09 is: 3,493.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.63 : 10,067.46 = 2,329.09 : x
  2. Step 2: Convert to fraction form
    6,711.63/10,067.46 = 2,329.09/x
  3. Step 3: Cross multiply
    6,711.63x = 10,067.46 × 2,329.09
  4. Step 4: Simplify right side
    6,711.63x = 23,447,986.51
  5. Step 5: Solve for x
    x = 23,447,986.51/6,711.63
  6. Step 6: Final answer
    x = 3,493.64

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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.