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Finding the Fourth Proportional to 11,797.28, 17,698.66 and 4,006.09

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Solution

The fourth proportional to 11,797.28, 17,698.66 and 4,006.09 is: 6,010.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.28 : 17,698.66 = 4,006.09 : x
  2. Step 2: Convert to fraction form
    11,797.28/17,698.66 = 4,006.09/x
  3. Step 3: Cross multiply
    11,797.28x = 17,698.66 × 4,006.09
  4. Step 4: Simplify right side
    11,797.28x = 70,902,424.84
  5. Step 5: Solve for x
    x = 70,902,424.84/11,797.28
  6. Step 6: Final answer
    x = 6,010.07

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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.