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Finding the Fourth Proportional to 11,380.30, 17,059.97 and 7,683.81

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Solution

The fourth proportional to 11,380.30, 17,059.97 and 7,683.81 is: 11,518.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380.30 : 17,059.97 = 7,683.81 : x
  2. Step 2: Convert to fraction form
    11,380.30/17,059.97 = 7,683.81/x
  3. Step 3: Cross multiply
    11,380.30x = 17,059.97 × 7,683.81
  4. Step 4: Simplify right side
    11,380.30x = 131,085,576.06
  5. Step 5: Solve for x
    x = 131,085,576.06/11,380.30
  6. Step 6: Final answer
    x = 11,518.64

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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.