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Finding the Fourth Proportional to 7,757.78, 11,638.47 and 2,563.34

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Solution

The fourth proportional to 7,757.78, 11,638.47 and 2,563.34 is: 3,845.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.78 : 11,638.47 = 2,563.34 : x
  2. Step 2: Convert to fraction form
    7,757.78/11,638.47 = 2,563.34/x
  3. Step 3: Cross multiply
    7,757.78x = 11,638.47 × 2,563.34
  4. Step 4: Simplify right side
    7,757.78x = 29,833,355.69
  5. Step 5: Solve for x
    x = 29,833,355.69/7,757.78
  6. Step 6: Final answer
    x = 3,845.60

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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.