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Finding the Fourth Proportional to 6,666.46, 10,004.46 and 3,893.97

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Solution

The fourth proportional to 6,666.46, 10,004.46 and 3,893.97 is: 5,843.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.46 : 10,004.46 = 3,893.97 : x
  2. Step 2: Convert to fraction form
    6,666.46/10,004.46 = 3,893.97/x
  3. Step 3: Cross multiply
    6,666.46x = 10,004.46 × 3,893.97
  4. Step 4: Simplify right side
    6,666.46x = 38,957,067.11
  5. Step 5: Solve for x
    x = 38,957,067.11/6,666.46
  6. Step 6: Final answer
    x = 5,843.74

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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.