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Finding the Fourth Proportional to 7,638.10, 11,450.16 and 3,258.63

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Solution

The fourth proportional to 7,638.10, 11,450.16 and 3,258.63 is: 4,884.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.10 : 11,450.16 = 3,258.63 : x
  2. Step 2: Convert to fraction form
    7,638.10/11,450.16 = 3,258.63/x
  3. Step 3: Cross multiply
    7,638.10x = 11,450.16 × 3,258.63
  4. Step 4: Simplify right side
    7,638.10x = 37,311,834.88
  5. Step 5: Solve for x
    x = 37,311,834.88/7,638.10
  6. Step 6: Final answer
    x = 4,884.96

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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.