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Finding the Fourth Proportional to 11,909.82, 17,865.60 and 4,012.30

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Solution

The fourth proportional to 11,909.82, 17,865.60 and 4,012.30 is: 6,018.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.82 : 17,865.60 = 4,012.30 : x
  2. Step 2: Convert to fraction form
    11,909.82/17,865.60 = 4,012.30/x
  3. Step 3: Cross multiply
    11,909.82x = 17,865.60 × 4,012.30
  4. Step 4: Simplify right side
    11,909.82x = 71,682,146.88
  5. Step 5: Solve for x
    x = 71,682,146.88/11,909.82
  6. Step 6: Final answer
    x = 6,018.74

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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.