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Finding the Fourth Proportional to 8,025.54, 12,035.20 and 3,215.49

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Solution

The fourth proportional to 8,025.54, 12,035.20 and 3,215.49 is: 4,821.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,025.54 : 12,035.20 = 3,215.49 : x
  2. Step 2: Convert to fraction form
    8,025.54/12,035.20 = 3,215.49/x
  3. Step 3: Cross multiply
    8,025.54x = 12,035.20 × 3,215.49
  4. Step 4: Simplify right side
    8,025.54x = 38,699,065.25
  5. Step 5: Solve for x
    x = 38,699,065.25/8,025.54
  6. Step 6: Final answer
    x = 4,821.99

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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.