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Finding the Fourth Proportional to 8,189.43, 12,296.45 and 4,683.39

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Solution

The fourth proportional to 8,189.43, 12,296.45 and 4,683.39 is: 7,032.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.43 : 12,296.45 = 4,683.39 : x
  2. Step 2: Convert to fraction form
    8,189.43/12,296.45 = 4,683.39/x
  3. Step 3: Cross multiply
    8,189.43x = 12,296.45 × 4,683.39
  4. Step 4: Simplify right side
    8,189.43x = 57,589,047.55
  5. Step 5: Solve for x
    x = 57,589,047.55/8,189.43
  6. Step 6: Final answer
    x = 7,032.12

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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.