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Finding the Fourth Proportional to 11,408.20, 17,112.30 and 6,800.20

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Solution

The fourth proportional to 11,408.20, 17,112.30 and 6,800.20 is: 10,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.20 : 17,112.30 = 6,800.20 : x
  2. Step 2: Convert to fraction form
    11,408.20/17,112.30 = 6,800.20/x
  3. Step 3: Cross multiply
    11,408.20x = 17,112.30 × 6,800.20
  4. Step 4: Simplify right side
    11,408.20x = 116,367,062.46
  5. Step 5: Solve for x
    x = 116,367,062.46/11,408.20
  6. Step 6: Final answer
    x = 10,200.30

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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.