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Finding the Fourth Proportional to 7,855.41, 11,780.33 and 2,589.15

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Solution

The fourth proportional to 7,855.41, 11,780.33 and 2,589.15 is: 3,882.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.41 : 11,780.33 = 2,589.15 : x
  2. Step 2: Convert to fraction form
    7,855.41/11,780.33 = 2,589.15/x
  3. Step 3: Cross multiply
    7,855.41x = 11,780.33 × 2,589.15
  4. Step 4: Simplify right side
    7,855.41x = 30,501,028.47
  5. Step 5: Solve for x
    x = 30,501,028.47/7,855.41
  6. Step 6: Final answer
    x = 3,882.81

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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.