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Finding the Fourth Proportional to 11,497.94, 17,268.78 and 7,145.82

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Solution

The fourth proportional to 11,497.94, 17,268.78 and 7,145.82 is: 10,732.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.94 : 17,268.78 = 7,145.82 : x
  2. Step 2: Convert to fraction form
    11,497.94/17,268.78 = 7,145.82/x
  3. Step 3: Cross multiply
    11,497.94x = 17,268.78 × 7,145.82
  4. Step 4: Simplify right side
    11,497.94x = 123,399,593.50
  5. Step 5: Solve for x
    x = 123,399,593.50/11,497.94
  6. Step 6: Final answer
    x = 10,732.32

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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.