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Finding the Fourth Proportional to 7,382.63, 11,072.91 and 2,118.09

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Solution

The fourth proportional to 7,382.63, 11,072.91 and 2,118.09 is: 3,176.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.63 : 11,072.91 = 2,118.09 : x
  2. Step 2: Convert to fraction form
    7,382.63/11,072.91 = 2,118.09/x
  3. Step 3: Cross multiply
    7,382.63x = 11,072.91 × 2,118.09
  4. Step 4: Simplify right side
    7,382.63x = 23,453,419.94
  5. Step 5: Solve for x
    x = 23,453,419.94/7,382.63
  6. Step 6: Final answer
    x = 3,176.84

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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.