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Finding the Fourth Proportional to 6,833.72, 10,253.40 and 3,274.04

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Solution

The fourth proportional to 6,833.72, 10,253.40 and 3,274.04 is: 4,912.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.72 : 10,253.40 = 3,274.04 : x
  2. Step 2: Convert to fraction form
    6,833.72/10,253.40 = 3,274.04/x
  3. Step 3: Cross multiply
    6,833.72x = 10,253.40 × 3,274.04
  4. Step 4: Simplify right side
    6,833.72x = 33,570,041.74
  5. Step 5: Solve for x
    x = 33,570,041.74/6,833.72
  6. Step 6: Final answer
    x = 4,912.41

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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.