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Finding the Fourth Proportional to 11,973.75, 17,960.63 and 3,765.75

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Solution

The fourth proportional to 11,973.75, 17,960.63 and 3,765.75 is: 5,648.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973.75 : 17,960.63 = 3,765.75 : x
  2. Step 2: Convert to fraction form
    11,973.75/17,960.63 = 3,765.75/x
  3. Step 3: Cross multiply
    11,973.75x = 17,960.63 × 3,765.75
  4. Step 4: Simplify right side
    11,973.75x = 67,635,242.42
  5. Step 5: Solve for x
    x = 67,635,242.42/11,973.75
  6. Step 6: Final answer
    x = 5,648.63

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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.