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Finding the Fourth Proportional to 11,884.76, 17,828.96 and 4,091.76

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Solution

The fourth proportional to 11,884.76, 17,828.96 and 4,091.76 is: 6,138.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.76 : 17,828.96 = 4,091.76 : x
  2. Step 2: Convert to fraction form
    11,884.76/17,828.96 = 4,091.76/x
  3. Step 3: Cross multiply
    11,884.76x = 17,828.96 × 4,091.76
  4. Step 4: Simplify right side
    11,884.76x = 72,951,825.37
  5. Step 5: Solve for x
    x = 72,951,825.37/11,884.76
  6. Step 6: Final answer
    x = 6,138.27

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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.