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Finding the Fourth Proportional to 10,808.20, 16,212.30 and 6,142.60

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Solution

The fourth proportional to 10,808.20, 16,212.30 and 6,142.60 is: 9,213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.20 : 16,212.30 = 6,142.60 : x
  2. Step 2: Convert to fraction form
    10,808.20/16,212.30 = 6,142.60/x
  3. Step 3: Cross multiply
    10,808.20x = 16,212.30 × 6,142.60
  4. Step 4: Simplify right side
    10,808.20x = 99,585,673.98
  5. Step 5: Solve for x
    x = 99,585,673.98/10,808.20
  6. Step 6: Final answer
    x = 9,213.90

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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.