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Finding the Fourth Proportional to 10,198.22, 14,074.94 and 5,722.23

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Solution

The fourth proportional to 10,198.22, 14,074.94 and 5,722.23 is: 7,897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.22 : 14,074.94 = 5,722.23 : x
  2. Step 2: Convert to fraction form
    10,198.22/14,074.94 = 5,722.23/x
  3. Step 3: Cross multiply
    10,198.22x = 14,074.94 × 5,722.23
  4. Step 4: Simplify right side
    10,198.22x = 80,540,075.12
  5. Step 5: Solve for x
    x = 80,540,075.12/10,198.22
  6. Step 6: Final answer
    x = 7,897.47

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