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Finding the Fourth Proportional to 6,858.05, 10,287.11 and 2,415.83

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Solution

The fourth proportional to 6,858.05, 10,287.11 and 2,415.83 is: 3,623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.05 : 10,287.11 = 2,415.83 : x
  2. Step 2: Convert to fraction form
    6,858.05/10,287.11 = 2,415.83/x
  3. Step 3: Cross multiply
    6,858.05x = 10,287.11 × 2,415.83
  4. Step 4: Simplify right side
    6,858.05x = 24,851,863.56
  5. Step 5: Solve for x
    x = 24,851,863.56/6,858.05
  6. Step 6: Final answer
    x = 3,623.75

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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.