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Finding the Fourth Proportional to 11,597.92, 17,388.36 and 7,442.60

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Solution

The fourth proportional to 11,597.92, 17,388.36 and 7,442.60 is: 11,158.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.92 : 17,388.36 = 7,442.60 : x
  2. Step 2: Convert to fraction form
    11,597.92/17,388.36 = 7,442.60/x
  3. Step 3: Cross multiply
    11,597.92x = 17,388.36 × 7,442.60
  4. Step 4: Simplify right side
    11,597.92x = 129,414,608.14
  5. Step 5: Solve for x
    x = 129,414,608.14/11,597.92
  6. Step 6: Final answer
    x = 11,158.43

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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.