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Finding the Fourth Proportional to 12,620.44, 17,416.32 and 7,907.48

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Solution

The fourth proportional to 12,620.44, 17,416.32 and 7,907.48 is: 10,912.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,620.44 : 17,416.32 = 7,907.48 : x
  2. Step 2: Convert to fraction form
    12,620.44/17,416.32 = 7,907.48/x
  3. Step 3: Cross multiply
    12,620.44x = 17,416.32 × 7,907.48
  4. Step 4: Simplify right side
    12,620.44x = 137,719,202.07
  5. Step 5: Solve for x
    x = 137,719,202.07/12,620.44
  6. Step 6: Final answer
    x = 10,912.39

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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.