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Finding the Fourth Proportional to 11,193.40, 16,775.70 and 6,806.20

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Solution

The fourth proportional to 11,193.40, 16,775.70 and 6,806.20 is: 10,200.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,193.40 : 16,775.70 = 6,806.20 : x
  2. Step 2: Convert to fraction form
    11,193.40/16,775.70 = 6,806.20/x
  3. Step 3: Cross multiply
    11,193.40x = 16,775.70 × 6,806.20
  4. Step 4: Simplify right side
    11,193.40x = 114,178,769.34
  5. Step 5: Solve for x
    x = 114,178,769.34/11,193.40
  6. Step 6: Final answer
    x = 10,200.54

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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.