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Finding the Fourth Proportional to 11,847.60, 17,777.54 and 4,832.76

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Solution

The fourth proportional to 11,847.60, 17,777.54 and 4,832.76 is: 7,251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.60 : 17,777.54 = 4,832.76 : x
  2. Step 2: Convert to fraction form
    11,847.60/17,777.54 = 4,832.76/x
  3. Step 3: Cross multiply
    11,847.60x = 17,777.54 × 4,832.76
  4. Step 4: Simplify right side
    11,847.60x = 85,914,584.21
  5. Step 5: Solve for x
    x = 85,914,584.21/11,847.60
  6. Step 6: Final answer
    x = 7,251.64

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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.