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Finding the Fourth Proportional to 6,872.72, 10,285.71 and 4,241.89

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Solution

The fourth proportional to 6,872.72, 10,285.71 and 4,241.89 is: 6,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.72 : 10,285.71 = 4,241.89 : x
  2. Step 2: Convert to fraction form
    6,872.72/10,285.71 = 4,241.89/x
  3. Step 3: Cross multiply
    6,872.72x = 10,285.71 × 4,241.89
  4. Step 4: Simplify right side
    6,872.72x = 43,630,811.82
  5. Step 5: Solve for x
    x = 43,630,811.82/6,872.72
  6. Step 6: Final answer
    x = 6,348.41

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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.