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Finding the Fourth Proportional to 11,843.63, 17,765.07 and 3,523.67

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Solution

The fourth proportional to 11,843.63, 17,765.07 and 3,523.67 is: 5,285.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.63 : 17,765.07 = 3,523.67 : x
  2. Step 2: Convert to fraction form
    11,843.63/17,765.07 = 3,523.67/x
  3. Step 3: Cross multiply
    11,843.63x = 17,765.07 × 3,523.67
  4. Step 4: Simplify right side
    11,843.63x = 62,598,155.38
  5. Step 5: Solve for x
    x = 62,598,155.38/11,843.63
  6. Step 6: Final answer
    x = 5,285.39

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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.