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Finding the Fourth Proportional to 6,853.61, 10,274.27 and 2,408.09

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Solution

The fourth proportional to 6,853.61, 10,274.27 and 2,408.09 is: 3,609.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.61 : 10,274.27 = 2,408.09 : x
  2. Step 2: Convert to fraction form
    6,853.61/10,274.27 = 2,408.09/x
  3. Step 3: Cross multiply
    6,853.61x = 10,274.27 × 2,408.09
  4. Step 4: Simplify right side
    6,853.61x = 24,741,303.43
  5. Step 5: Solve for x
    x = 24,741,303.43/6,853.61
  6. Step 6: Final answer
    x = 3,609.97

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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.