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Finding the Fourth Proportional to 7,638.57, 11,457.84 and 2,091.96

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Solution

The fourth proportional to 7,638.57, 11,457.84 and 2,091.96 is: 3,137.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.57 : 11,457.84 = 2,091.96 : x
  2. Step 2: Convert to fraction form
    7,638.57/11,457.84 = 2,091.96/x
  3. Step 3: Cross multiply
    7,638.57x = 11,457.84 × 2,091.96
  4. Step 4: Simplify right side
    7,638.57x = 23,969,342.97
  5. Step 5: Solve for x
    x = 23,969,342.97/7,638.57
  6. Step 6: Final answer
    x = 3,137.94

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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.