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Finding the Fourth Proportional to 6,851.80, 10,278.42 and 2,233.72

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Solution

The fourth proportional to 6,851.80, 10,278.42 and 2,233.72 is: 3,350.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.80 : 10,278.42 = 2,233.72 : x
  2. Step 2: Convert to fraction form
    6,851.80/10,278.42 = 2,233.72/x
  3. Step 3: Cross multiply
    6,851.80x = 10,278.42 × 2,233.72
  4. Step 4: Simplify right side
    6,851.80x = 22,959,112.32
  5. Step 5: Solve for x
    x = 22,959,112.32/6,851.80
  6. Step 6: Final answer
    x = 3,350.81

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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.