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Finding the Fourth Proportional to 7,858.41, 11,785.79 and 2,310.27

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Solution

The fourth proportional to 7,858.41, 11,785.79 and 2,310.27 is: 3,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.41 : 11,785.79 = 2,310.27 : x
  2. Step 2: Convert to fraction form
    7,858.41/11,785.79 = 2,310.27/x
  3. Step 3: Cross multiply
    7,858.41x = 11,785.79 × 2,310.27
  4. Step 4: Simplify right side
    7,858.41x = 27,228,357.06
  5. Step 5: Solve for x
    x = 27,228,357.06/7,858.41
  6. Step 6: Final answer
    x = 3,464.87

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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.