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Finding the Fourth Proportional to 11,643.75, 17,467.27 and 3,743.62

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Solution

The fourth proportional to 11,643.75, 17,467.27 and 3,743.62 is: 5,615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.75 : 17,467.27 = 3,743.62 : x
  2. Step 2: Convert to fraction form
    11,643.75/17,467.27 = 3,743.62/x
  3. Step 3: Cross multiply
    11,643.75x = 17,467.27 × 3,743.62
  4. Step 4: Simplify right side
    11,643.75x = 65,390,768.29
  5. Step 5: Solve for x
    x = 65,390,768.29/11,643.75
  6. Step 6: Final answer
    x = 5,615.95

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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.