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Finding the Fourth Proportional to 8,297.02, 11,441.12 and 6,408.92

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Solution

The fourth proportional to 8,297.02, 11,441.12 and 6,408.92 is: 8,837.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.02 : 11,441.12 = 6,408.92 : x
  2. Step 2: Convert to fraction form
    8,297.02/11,441.12 = 6,408.92/x
  3. Step 3: Cross multiply
    8,297.02x = 11,441.12 × 6,408.92
  4. Step 4: Simplify right side
    8,297.02x = 73,325,222.79
  5. Step 5: Solve for x
    x = 73,325,222.79/8,297.02
  6. Step 6: Final answer
    x = 8,837.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.