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Finding the Fourth Proportional to 7,852.45, 11,760.21 and 3,683.47

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Solution

The fourth proportional to 7,852.45, 11,760.21 and 3,683.47 is: 5,516.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.45 : 11,760.21 = 3,683.47 : x
  2. Step 2: Convert to fraction form
    7,852.45/11,760.21 = 3,683.47/x
  3. Step 3: Cross multiply
    7,852.45x = 11,760.21 × 3,683.47
  4. Step 4: Simplify right side
    7,852.45x = 43,318,380.73
  5. Step 5: Solve for x
    x = 43,318,380.73/7,852.45
  6. Step 6: Final answer
    x = 5,516.54

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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.