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Finding the Fourth Proportional to 7,680.96, 11,522.88 and 2,486.16

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Solution

The fourth proportional to 7,680.96, 11,522.88 and 2,486.16 is: 3,729.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.96 : 11,522.88 = 2,486.16 : x
  2. Step 2: Convert to fraction form
    7,680.96/11,522.88 = 2,486.16/x
  3. Step 3: Cross multiply
    7,680.96x = 11,522.88 × 2,486.16
  4. Step 4: Simplify right side
    7,680.96x = 28,647,723.34
  5. Step 5: Solve for x
    x = 28,647,723.34/7,680.96
  6. Step 6: Final answer
    x = 3,729.71

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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.