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Finding the Fourth Proportional to 10,781.58, 16,172.97 and 4,207.20

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Solution

The fourth proportional to 10,781.58, 16,172.97 and 4,207.20 is: 6,311.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,781.58 : 16,172.97 = 4,207.20 : x
  2. Step 2: Convert to fraction form
    10,781.58/16,172.97 = 4,207.20/x
  3. Step 3: Cross multiply
    10,781.58x = 16,172.97 × 4,207.20
  4. Step 4: Simplify right side
    10,781.58x = 68,042,919.38
  5. Step 5: Solve for x
    x = 68,042,919.38/10,781.58
  6. Step 6: Final answer
    x = 6,311.03

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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.