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Finding the Fourth Proportional to 10,864.67, 16,297.14 and 3,469.10

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Solution

The fourth proportional to 10,864.67, 16,297.14 and 3,469.10 is: 5,203.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.67 : 16,297.14 = 3,469.10 : x
  2. Step 2: Convert to fraction form
    10,864.67/16,297.14 = 3,469.10/x
  3. Step 3: Cross multiply
    10,864.67x = 16,297.14 × 3,469.10
  4. Step 4: Simplify right side
    10,864.67x = 56,536,408.37
  5. Step 5: Solve for x
    x = 56,536,408.37/10,864.67
  6. Step 6: Final answer
    x = 5,203.69

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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.