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Finding the Fourth Proportional to 8,023.80, 12,035.88 and 3,640.86

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Solution

The fourth proportional to 8,023.80, 12,035.88 and 3,640.86 is: 5,461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.80 : 12,035.88 = 3,640.86 : x
  2. Step 2: Convert to fraction form
    8,023.80/12,035.88 = 3,640.86/x
  3. Step 3: Cross multiply
    8,023.80x = 12,035.88 × 3,640.86
  4. Step 4: Simplify right side
    8,023.80x = 43,820,954.06
  5. Step 5: Solve for x
    x = 43,820,954.06/8,023.80
  6. Step 6: Final answer
    x = 5,461.37

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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.