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Finding the Fourth Proportional to 12,940.44, 17,853.66 and 7,975.32

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Solution

The fourth proportional to 12,940.44, 17,853.66 and 7,975.32 is: 11,003.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940.44 : 17,853.66 = 7,975.32 : x
  2. Step 2: Convert to fraction form
    12,940.44/17,853.66 = 7,975.32/x
  3. Step 3: Cross multiply
    12,940.44x = 17,853.66 × 7,975.32
  4. Step 4: Simplify right side
    12,940.44x = 142,388,651.67
  5. Step 5: Solve for x
    x = 142,388,651.67/12,940.44
  6. Step 6: Final answer
    x = 11,003.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.