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Finding the Fourth Proportional to 10,198.69, 15,288.97 and 3,624.01

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Solution

The fourth proportional to 10,198.69, 15,288.97 and 3,624.01 is: 5,432.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.69 : 15,288.97 = 3,624.01 : x
  2. Step 2: Convert to fraction form
    10,198.69/15,288.97 = 3,624.01/x
  3. Step 3: Cross multiply
    10,198.69x = 15,288.97 × 3,624.01
  4. Step 4: Simplify right side
    10,198.69x = 55,407,380.17
  5. Step 5: Solve for x
    x = 55,407,380.17/10,198.69
  6. Step 6: Final answer
    x = 5,432.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.