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Finding the Fourth Proportional to 7,847.20, 11,771.06 and 2,847.04

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Solution

The fourth proportional to 7,847.20, 11,771.06 and 2,847.04 is: 4,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.20 : 11,771.06 = 2,847.04 : x
  2. Step 2: Convert to fraction form
    7,847.20/11,771.06 = 2,847.04/x
  3. Step 3: Cross multiply
    7,847.20x = 11,771.06 × 2,847.04
  4. Step 4: Simplify right side
    7,847.20x = 33,512,678.66
  5. Step 5: Solve for x
    x = 33,512,678.66/7,847.20
  6. Step 6: Final answer
    x = 4,270.65

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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.