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Finding the Fourth Proportional to 7,783.85, 11,676.50 and 3,102.73

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Solution

The fourth proportional to 7,783.85, 11,676.50 and 3,102.73 is: 4,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.85 : 11,676.50 = 3,102.73 : x
  2. Step 2: Convert to fraction form
    7,783.85/11,676.50 = 3,102.73/x
  3. Step 3: Cross multiply
    7,783.85x = 11,676.50 × 3,102.73
  4. Step 4: Simplify right side
    7,783.85x = 36,228,993.78
  5. Step 5: Solve for x
    x = 36,228,993.78/7,783.85
  6. Step 6: Final answer
    x = 4,654.38

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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.