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Finding the Fourth Proportional to 10,899.42, 16,349.34 and 3,108.42

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Solution

The fourth proportional to 10,899.42, 16,349.34 and 3,108.42 is: 4,662.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,899.42 : 16,349.34 = 3,108.42 : x
  2. Step 2: Convert to fraction form
    10,899.42/16,349.34 = 3,108.42/x
  3. Step 3: Cross multiply
    10,899.42x = 16,349.34 × 3,108.42
  4. Step 4: Simplify right side
    10,899.42x = 50,820,615.44
  5. Step 5: Solve for x
    x = 50,820,615.44/10,899.42
  6. Step 6: Final answer
    x = 4,662.69

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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.