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Finding the Fourth Proportional to 11,442.60, 17,163.90 and 6,193.80

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Solution

The fourth proportional to 11,442.60, 17,163.90 and 6,193.80 is: 9,290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.60 : 17,163.90 = 6,193.80 : x
  2. Step 2: Convert to fraction form
    11,442.60/17,163.90 = 6,193.80/x
  3. Step 3: Cross multiply
    11,442.60x = 17,163.90 × 6,193.80
  4. Step 4: Simplify right side
    11,442.60x = 106,309,763.82
  5. Step 5: Solve for x
    x = 106,309,763.82/11,442.60
  6. Step 6: Final answer
    x = 9,290.70

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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.