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Finding the Fourth Proportional to 8,230.23, 12,347.29 and 2,683.60

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Solution

The fourth proportional to 8,230.23, 12,347.29 and 2,683.60 is: 4,026.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.23 : 12,347.29 = 2,683.60 : x
  2. Step 2: Convert to fraction form
    8,230.23/12,347.29 = 2,683.60/x
  3. Step 3: Cross multiply
    8,230.23x = 12,347.29 × 2,683.60
  4. Step 4: Simplify right side
    8,230.23x = 33,135,187.44
  5. Step 5: Solve for x
    x = 33,135,187.44/8,230.23
  6. Step 6: Final answer
    x = 4,026.03

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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.