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Finding the Fourth Proportional to 6,713.40, 10,067.71 and 2,552.30

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Solution

The fourth proportional to 6,713.40, 10,067.71 and 2,552.30 is: 3,827.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.40 : 10,067.71 = 2,552.30 : x
  2. Step 2: Convert to fraction form
    6,713.40/10,067.71 = 2,552.30/x
  3. Step 3: Cross multiply
    6,713.40x = 10,067.71 × 2,552.30
  4. Step 4: Simplify right side
    6,713.40x = 25,695,816.23
  5. Step 5: Solve for x
    x = 25,695,816.23/6,713.40
  6. Step 6: Final answer
    x = 3,827.54

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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.