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Finding the Fourth Proportional to 7,234.54, 10,851.82 and 6,865.18

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Solution

The fourth proportional to 7,234.54, 10,851.82 and 6,865.18 is: 10,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.54 : 10,851.82 = 6,865.18 : x
  2. Step 2: Convert to fraction form
    7,234.54/10,851.82 = 6,865.18/x
  3. Step 3: Cross multiply
    7,234.54x = 10,851.82 × 6,865.18
  4. Step 4: Simplify right side
    7,234.54x = 74,499,697.63
  5. Step 5: Solve for x
    x = 74,499,697.63/7,234.54
  6. Step 6: Final answer
    x = 10,297.78

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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.