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Finding the Fourth Proportional to 11,775.38, 17,661.98 and 3,984.26

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Solution

The fourth proportional to 11,775.38, 17,661.98 and 3,984.26 is: 5,976.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.38 : 17,661.98 = 3,984.26 : x
  2. Step 2: Convert to fraction form
    11,775.38/17,661.98 = 3,984.26/x
  3. Step 3: Cross multiply
    11,775.38x = 17,661.98 × 3,984.26
  4. Step 4: Simplify right side
    11,775.38x = 70,369,920.43
  5. Step 5: Solve for x
    x = 70,369,920.43/11,775.38
  6. Step 6: Final answer
    x = 5,976.02

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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.