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Finding the Fourth Proportional to 8,028.21, 12,024.50 and 6,165.62

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Solution

The fourth proportional to 8,028.21, 12,024.50 and 6,165.62 is: 9,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028.21 : 12,024.50 = 6,165.62 : x
  2. Step 2: Convert to fraction form
    8,028.21/12,024.50 = 6,165.62/x
  3. Step 3: Cross multiply
    8,028.21x = 12,024.50 × 6,165.62
  4. Step 4: Simplify right side
    8,028.21x = 74,138,486.51
  5. Step 5: Solve for x
    x = 74,138,486.51/8,028.21
  6. Step 6: Final answer
    x = 9,234.74

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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.