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Finding the Fourth Proportional to 7,163.60, 10,744.16 and 1,968.26

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Solution

The fourth proportional to 7,163.60, 10,744.16 and 1,968.26 is: 2,952.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.60 : 10,744.16 = 1,968.26 : x
  2. Step 2: Convert to fraction form
    7,163.60/10,744.16 = 1,968.26/x
  3. Step 3: Cross multiply
    7,163.60x = 10,744.16 × 1,968.26
  4. Step 4: Simplify right side
    7,163.60x = 21,147,300.36
  5. Step 5: Solve for x
    x = 21,147,300.36/7,163.60
  6. Step 6: Final answer
    x = 2,952.05

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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.