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Finding the Fourth Proportional to 6,855.54, 10,287.30 and 2,906.58

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Solution

The fourth proportional to 6,855.54, 10,287.30 and 2,906.58 is: 4,361.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.54 : 10,287.30 = 2,906.58 : x
  2. Step 2: Convert to fraction form
    6,855.54/10,287.30 = 2,906.58/x
  3. Step 3: Cross multiply
    6,855.54x = 10,287.30 × 2,906.58
  4. Step 4: Simplify right side
    6,855.54x = 29,900,909.91
  5. Step 5: Solve for x
    x = 29,900,909.91/6,855.54
  6. Step 6: Final answer
    x = 4,361.57

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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.