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Finding the Fourth Proportional to 7,676.88, 11,518.56 and 3,781.32

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Solution

The fourth proportional to 7,676.88, 11,518.56 and 3,781.32 is: 5,673.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.88 : 11,518.56 = 3,781.32 : x
  2. Step 2: Convert to fraction form
    7,676.88/11,518.56 = 3,781.32/x
  3. Step 3: Cross multiply
    7,676.88x = 11,518.56 × 3,781.32
  4. Step 4: Simplify right side
    7,676.88x = 43,555,361.30
  5. Step 5: Solve for x
    x = 43,555,361.30/7,676.88
  6. Step 6: Final answer
    x = 5,673.58

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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.