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Finding the Fourth Proportional to 6,851.89, 10,262.10 and 4,352.89

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Solution

The fourth proportional to 6,851.89, 10,262.10 and 4,352.89 is: 6,519.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.89 : 10,262.10 = 4,352.89 : x
  2. Step 2: Convert to fraction form
    6,851.89/10,262.10 = 4,352.89/x
  3. Step 3: Cross multiply
    6,851.89x = 10,262.10 × 4,352.89
  4. Step 4: Simplify right side
    6,851.89x = 44,669,770.70
  5. Step 5: Solve for x
    x = 44,669,770.70/6,851.89
  6. Step 6: Final answer
    x = 6,519.34

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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.