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Finding the Fourth Proportional to 11,638.94, 17,458.76 and 2,873.85

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Solution

The fourth proportional to 11,638.94, 17,458.76 and 2,873.85 is: 4,310.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.94 : 17,458.76 = 2,873.85 : x
  2. Step 2: Convert to fraction form
    11,638.94/17,458.76 = 2,873.85/x
  3. Step 3: Cross multiply
    11,638.94x = 17,458.76 × 2,873.85
  4. Step 4: Simplify right side
    11,638.94x = 50,173,857.43
  5. Step 5: Solve for x
    x = 50,173,857.43/11,638.94
  6. Step 6: Final answer
    x = 4,310.86

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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.