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Finding the Fourth Proportional to 11,842.26, 17,763.40 and 3,076.44

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Solution

The fourth proportional to 11,842.26, 17,763.40 and 3,076.44 is: 4,614.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.26 : 17,763.40 = 3,076.44 : x
  2. Step 2: Convert to fraction form
    11,842.26/17,763.40 = 3,076.44/x
  3. Step 3: Cross multiply
    11,842.26x = 17,763.40 × 3,076.44
  4. Step 4: Simplify right side
    11,842.26x = 54,648,034.30
  5. Step 5: Solve for x
    x = 54,648,034.30/11,842.26
  6. Step 6: Final answer
    x = 4,614.66

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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.