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Finding the Fourth Proportional to 6,804.90, 10,202.76 and 2,361.42

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Solution

The fourth proportional to 6,804.90, 10,202.76 and 2,361.42 is: 3,540.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.90 : 10,202.76 = 2,361.42 : x
  2. Step 2: Convert to fraction form
    6,804.90/10,202.76 = 2,361.42/x
  3. Step 3: Cross multiply
    6,804.90x = 10,202.76 × 2,361.42
  4. Step 4: Simplify right side
    6,804.90x = 24,093,001.52
  5. Step 5: Solve for x
    x = 24,093,001.52/6,804.90
  6. Step 6: Final answer
    x = 3,540.54

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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.