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Finding the Fourth Proportional to 11,855.94, 17,785.83 and 4,460.97

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Solution

The fourth proportional to 11,855.94, 17,785.83 and 4,460.97 is: 6,692.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.94 : 17,785.83 = 4,460.97 : x
  2. Step 2: Convert to fraction form
    11,855.94/17,785.83 = 4,460.97/x
  3. Step 3: Cross multiply
    11,855.94x = 17,785.83 × 4,460.97
  4. Step 4: Simplify right side
    11,855.94x = 79,342,054.06
  5. Step 5: Solve for x
    x = 79,342,054.06/11,855.94
  6. Step 6: Final answer
    x = 6,692.18

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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.