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Finding the Fourth Proportional to 11,771.67, 17,634.41 and 6,830.94

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Solution

The fourth proportional to 11,771.67, 17,634.41 and 6,830.94 is: 10,233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.67 : 17,634.41 = 6,830.94 : x
  2. Step 2: Convert to fraction form
    11,771.67/17,634.41 = 6,830.94/x
  3. Step 3: Cross multiply
    11,771.67x = 17,634.41 × 6,830.94
  4. Step 4: Simplify right side
    11,771.67x = 120,459,596.65
  5. Step 5: Solve for x
    x = 120,459,596.65/11,771.67
  6. Step 6: Final answer
    x = 10,233.01

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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.