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Finding the Fourth Proportional to 7,847.78, 11,772 and 2,004.56

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Solution

The fourth proportional to 7,847.78, 11,772 and 2,004.56 is: 3,006.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.78 : 11,772 = 2,004.56 : x
  2. Step 2: Convert to fraction form
    7,847.78/11,772 = 2,004.56/x
  3. Step 3: Cross multiply
    7,847.78x = 11,772 × 2,004.56
  4. Step 4: Simplify right side
    7,847.78x = 23,597,680.32
  5. Step 5: Solve for x
    x = 23,597,680.32/7,847.78
  6. Step 6: Final answer
    x = 3,006.92

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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.