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Finding the Fourth Proportional to 11,884.68, 17,825.64 and 3,120.28

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Solution

The fourth proportional to 11,884.68, 17,825.64 and 3,120.28 is: 4,680.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.68 : 17,825.64 = 3,120.28 : x
  2. Step 2: Convert to fraction form
    11,884.68/17,825.64 = 3,120.28/x
  3. Step 3: Cross multiply
    11,884.68x = 17,825.64 × 3,120.28
  4. Step 4: Simplify right side
    11,884.68x = 55,620,898.85
  5. Step 5: Solve for x
    x = 55,620,898.85/11,884.68
  6. Step 6: Final answer
    x = 4,680.05

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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.