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Finding the Fourth Proportional to 11,841.85, 17,761.29 and 3,076.03

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Solution

The fourth proportional to 11,841.85, 17,761.29 and 3,076.03 is: 4,613.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.85 : 17,761.29 = 3,076.03 : x
  2. Step 2: Convert to fraction form
    11,841.85/17,761.29 = 3,076.03/x
  3. Step 3: Cross multiply
    11,841.85x = 17,761.29 × 3,076.03
  4. Step 4: Simplify right side
    11,841.85x = 54,634,260.88
  5. Step 5: Solve for x
    x = 54,634,260.88/11,841.85
  6. Step 6: Final answer
    x = 4,613.66

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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.