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Finding the Fourth Proportional to 11,757.77, 17,637.07 and 3,860.47

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Solution

The fourth proportional to 11,757.77, 17,637.07 and 3,860.47 is: 5,790.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.77 : 17,637.07 = 3,860.47 : x
  2. Step 2: Convert to fraction form
    11,757.77/17,637.07 = 3,860.47/x
  3. Step 3: Cross multiply
    11,757.77x = 17,637.07 × 3,860.47
  4. Step 4: Simplify right side
    11,757.77x = 68,087,379.62
  5. Step 5: Solve for x
    x = 68,087,379.62/11,757.77
  6. Step 6: Final answer
    x = 5,790.84

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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.