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Finding the Fourth Proportional to 7,157.46, 10,738.42 and 3,212

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Solution

The fourth proportional to 7,157.46, 10,738.42 and 3,212 is: 4,819.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.46 : 10,738.42 = 3,212 : x
  2. Step 2: Convert to fraction form
    7,157.46/10,738.42 = 3,212/x
  3. Step 3: Cross multiply
    7,157.46x = 10,738.42 × 3,212
  4. Step 4: Simplify right side
    7,157.46x = 34,491,805.04
  5. Step 5: Solve for x
    x = 34,491,805.04/7,157.46
  6. Step 6: Final answer
    x = 4,819.00

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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.