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Finding the Fourth Proportional to 11,497.70, 17,268.41 and 7,145.57

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Solution

The fourth proportional to 11,497.70, 17,268.41 and 7,145.57 is: 10,731.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.70 : 17,268.41 = 7,145.57 : x
  2. Step 2: Convert to fraction form
    11,497.70/17,268.41 = 7,145.57/x
  3. Step 3: Cross multiply
    11,497.70x = 17,268.41 × 7,145.57
  4. Step 4: Simplify right side
    11,497.70x = 123,392,632.44
  5. Step 5: Solve for x
    x = 123,392,632.44/11,497.70
  6. Step 6: Final answer
    x = 10,731.94

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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.