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Finding the Fourth Proportional to 11,786.89, 17,679.02 and 3,022.01

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Solution

The fourth proportional to 11,786.89, 17,679.02 and 3,022.01 is: 4,532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.89 : 17,679.02 = 3,022.01 : x
  2. Step 2: Convert to fraction form
    11,786.89/17,679.02 = 3,022.01/x
  3. Step 3: Cross multiply
    11,786.89x = 17,679.02 × 3,022.01
  4. Step 4: Simplify right side
    11,786.89x = 53,426,160.12
  5. Step 5: Solve for x
    x = 53,426,160.12/11,786.89
  6. Step 6: Final answer
    x = 4,532.68

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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.