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Finding the Fourth Proportional to 7,680.54, 11,516.71 and 2,747.50

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Solution

The fourth proportional to 7,680.54, 11,516.71 and 2,747.50 is: 4,119.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.54 : 11,516.71 = 2,747.50 : x
  2. Step 2: Convert to fraction form
    7,680.54/11,516.71 = 2,747.50/x
  3. Step 3: Cross multiply
    7,680.54x = 11,516.71 × 2,747.50
  4. Step 4: Simplify right side
    7,680.54x = 31,642,160.73
  5. Step 5: Solve for x
    x = 31,642,160.73/7,680.54
  6. Step 6: Final answer
    x = 4,119.78

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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.