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Finding the Fourth Proportional to 7,638.52, 11,457.78 and 2,091.91

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Solution

The fourth proportional to 7,638.52, 11,457.78 and 2,091.91 is: 3,137.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.52 : 11,457.78 = 2,091.91 : x
  2. Step 2: Convert to fraction form
    7,638.52/11,457.78 = 2,091.91/x
  3. Step 3: Cross multiply
    7,638.52x = 11,457.78 × 2,091.91
  4. Step 4: Simplify right side
    7,638.52x = 23,968,576.81
  5. Step 5: Solve for x
    x = 23,968,576.81/7,638.52
  6. Step 6: Final answer
    x = 3,137.86

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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.