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Finding the Fourth Proportional to 7,717.85, 11,576.77 and 1,874.42

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Solution

The fourth proportional to 7,717.85, 11,576.77 and 1,874.42 is: 2,811.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.85 : 11,576.77 = 1,874.42 : x
  2. Step 2: Convert to fraction form
    7,717.85/11,576.77 = 1,874.42/x
  3. Step 3: Cross multiply
    7,717.85x = 11,576.77 × 1,874.42
  4. Step 4: Simplify right side
    7,717.85x = 21,699,729.22
  5. Step 5: Solve for x
    x = 21,699,729.22/7,717.85
  6. Step 6: Final answer
    x = 2,811.63

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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.