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Finding the Fourth Proportional to 7,683.26, 11,532.78 and 3,984.49

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Solution

The fourth proportional to 7,683.26, 11,532.78 and 3,984.49 is: 5,980.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.26 : 11,532.78 = 3,984.49 : x
  2. Step 2: Convert to fraction form
    7,683.26/11,532.78 = 3,984.49/x
  3. Step 3: Cross multiply
    7,683.26x = 11,532.78 × 3,984.49
  4. Step 4: Simplify right side
    7,683.26x = 45,952,261.00
  5. Step 5: Solve for x
    x = 45,952,261.00/7,683.26
  6. Step 6: Final answer
    x = 5,980.83

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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.