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Finding the Fourth Proportional to 11,884.69, 17,826.99 and 4,093.48

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Solution

The fourth proportional to 11,884.69, 17,826.99 and 4,093.48 is: 6,140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.69 : 17,826.99 = 4,093.48 : x
  2. Step 2: Convert to fraction form
    11,884.69/17,826.99 = 4,093.48/x
  3. Step 3: Cross multiply
    11,884.69x = 17,826.99 × 4,093.48
  4. Step 4: Simplify right side
    11,884.69x = 72,974,427.03
  5. Step 5: Solve for x
    x = 72,974,427.03/11,884.69
  6. Step 6: Final answer
    x = 6,140.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.