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Finding the Fourth Proportional to 7,568.58, 11,352.94 and 2,638.21

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Solution

The fourth proportional to 7,568.58, 11,352.94 and 2,638.21 is: 3,957.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.58 : 11,352.94 = 2,638.21 : x
  2. Step 2: Convert to fraction form
    7,568.58/11,352.94 = 2,638.21/x
  3. Step 3: Cross multiply
    7,568.58x = 11,352.94 × 2,638.21
  4. Step 4: Simplify right side
    7,568.58x = 29,951,461.62
  5. Step 5: Solve for x
    x = 29,951,461.62/7,568.58
  6. Step 6: Final answer
    x = 3,957.34

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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.