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Finding the Fourth Proportional to 6,840.47, 10,279.94 and 4,067.64

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Solution

The fourth proportional to 6,840.47, 10,279.94 and 4,067.64 is: 6,112.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.47 : 10,279.94 = 4,067.64 : x
  2. Step 2: Convert to fraction form
    6,840.47/10,279.94 = 4,067.64/x
  3. Step 3: Cross multiply
    6,840.47x = 10,279.94 × 4,067.64
  4. Step 4: Simplify right side
    6,840.47x = 41,815,074.80
  5. Step 5: Solve for x
    x = 41,815,074.80/6,840.47
  6. Step 6: Final answer
    x = 6,112.89

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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.