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Finding the Fourth Proportional to 8,012.16, 12,024 and 4,936.32

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Solution

The fourth proportional to 8,012.16, 12,024 and 4,936.32 is: 7,408.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.16 : 12,024 = 4,936.32 : x
  2. Step 2: Convert to fraction form
    8,012.16/12,024 = 4,936.32/x
  3. Step 3: Cross multiply
    8,012.16x = 12,024 × 4,936.32
  4. Step 4: Simplify right side
    8,012.16x = 59,354,311.68
  5. Step 5: Solve for x
    x = 59,354,311.68/8,012.16
  6. Step 6: Final answer
    x = 7,408.03

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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.