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Finding the Fourth Proportional to 7,838.44, 11,757.83 and 3,676.15

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Solution

The fourth proportional to 7,838.44, 11,757.83 and 3,676.15 is: 5,514.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.44 : 11,757.83 = 3,676.15 : x
  2. Step 2: Convert to fraction form
    7,838.44/11,757.83 = 3,676.15/x
  3. Step 3: Cross multiply
    7,838.44x = 11,757.83 × 3,676.15
  4. Step 4: Simplify right side
    7,838.44x = 43,223,543.07
  5. Step 5: Solve for x
    x = 43,223,543.07/7,838.44
  6. Step 6: Final answer
    x = 5,514.31

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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.