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Finding the Fourth Proportional to 10,198.28, 14,073.84 and 7,219.46

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Solution

The fourth proportional to 10,198.28, 14,073.84 and 7,219.46 is: 9,963.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.28 : 14,073.84 = 7,219.46 : x
  2. Step 2: Convert to fraction form
    10,198.28/14,073.84 = 7,219.46/x
  3. Step 3: Cross multiply
    10,198.28x = 14,073.84 × 7,219.46
  4. Step 4: Simplify right side
    10,198.28x = 101,605,524.93
  5. Step 5: Solve for x
    x = 101,605,524.93/10,198.28
  6. Step 6: Final answer
    x = 9,963.01

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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.