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Finding the Fourth Proportional to 7,847.06, 11,771 and 3,464.56

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Solution

The fourth proportional to 7,847.06, 11,771 and 3,464.56 is: 5,197.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.06 : 11,771 = 3,464.56 : x
  2. Step 2: Convert to fraction form
    7,847.06/11,771 = 3,464.56/x
  3. Step 3: Cross multiply
    7,847.06x = 11,771 × 3,464.56
  4. Step 4: Simplify right side
    7,847.06x = 40,781,335.76
  5. Step 5: Solve for x
    x = 40,781,335.76/7,847.06
  6. Step 6: Final answer
    x = 5,197.02

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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.