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Finding the Fourth Proportional to 8,049.71, 12,072.25 and 2,783.34

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Solution

The fourth proportional to 8,049.71, 12,072.25 and 2,783.34 is: 4,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.71 : 12,072.25 = 2,783.34 : x
  2. Step 2: Convert to fraction form
    8,049.71/12,072.25 = 2,783.34/x
  3. Step 3: Cross multiply
    8,049.71x = 12,072.25 × 2,783.34
  4. Step 4: Simplify right side
    8,049.71x = 33,601,176.32
  5. Step 5: Solve for x
    x = 33,601,176.32/8,049.71
  6. Step 6: Final answer
    x = 4,174.21

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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.