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Finding the Fourth Proportional to 7,761.21, 11,638.97 and 2,829.39

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Solution

The fourth proportional to 7,761.21, 11,638.97 and 2,829.39 is: 4,243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.21 : 11,638.97 = 2,829.39 : x
  2. Step 2: Convert to fraction form
    7,761.21/11,638.97 = 2,829.39/x
  3. Step 3: Cross multiply
    7,761.21x = 11,638.97 × 2,829.39
  4. Step 4: Simplify right side
    7,761.21x = 32,931,185.33
  5. Step 5: Solve for x
    x = 32,931,185.33/7,761.21
  6. Step 6: Final answer
    x = 4,243.05

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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.