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Finding the Fourth Proportional to 11,884.56, 17,825.45 and 3,120.15

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Solution

The fourth proportional to 11,884.56, 17,825.45 and 3,120.15 is: 4,679.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.56 : 17,825.45 = 3,120.15 : x
  2. Step 2: Convert to fraction form
    11,884.56/17,825.45 = 3,120.15/x
  3. Step 3: Cross multiply
    11,884.56x = 17,825.45 × 3,120.15
  4. Step 4: Simplify right side
    11,884.56x = 55,618,129.06
  5. Step 5: Solve for x
    x = 55,618,129.06/11,884.56
  6. Step 6: Final answer
    x = 4,679.87

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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.