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Finding the Fourth Proportional to 8,034.30, 12,049.29 and 2,839.50

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Solution

The fourth proportional to 8,034.30, 12,049.29 and 2,839.50 is: 4,258.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.30 : 12,049.29 = 2,839.50 : x
  2. Step 2: Convert to fraction form
    8,034.30/12,049.29 = 2,839.50/x
  3. Step 3: Cross multiply
    8,034.30x = 12,049.29 × 2,839.50
  4. Step 4: Simplify right side
    8,034.30x = 34,213,958.96
  5. Step 5: Solve for x
    x = 34,213,958.96/8,034.30
  6. Step 6: Final answer
    x = 4,258.49

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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.