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Finding the Fourth Proportional to 7,757.83, 11,637.15 and 3,860.92

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Solution

The fourth proportional to 7,757.83, 11,637.15 and 3,860.92 is: 5,791.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.83 : 11,637.15 = 3,860.92 : x
  2. Step 2: Convert to fraction form
    7,757.83/11,637.15 = 3,860.92/x
  3. Step 3: Cross multiply
    7,757.83x = 11,637.15 × 3,860.92
  4. Step 4: Simplify right side
    7,757.83x = 44,930,105.18
  5. Step 5: Solve for x
    x = 44,930,105.18/7,757.83
  6. Step 6: Final answer
    x = 5,791.58

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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.