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Finding the Fourth Proportional to 11,751.96, 17,627.68 and 2,867.31

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Solution

The fourth proportional to 11,751.96, 17,627.68 and 2,867.31 is: 4,300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.96 : 17,627.68 = 2,867.31 : x
  2. Step 2: Convert to fraction form
    11,751.96/17,627.68 = 2,867.31/x
  3. Step 3: Cross multiply
    11,751.96x = 17,627.68 × 2,867.31
  4. Step 4: Simplify right side
    11,751.96x = 50,544,023.14
  5. Step 5: Solve for x
    x = 50,544,023.14/11,751.96
  6. Step 6: Final answer
    x = 4,300.90

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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.