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Finding the Fourth Proportional to 11,185.70, 16,745.74 and 7,842.35

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Solution

The fourth proportional to 11,185.70, 16,745.74 and 7,842.35 is: 11,740.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,185.70 : 16,745.74 = 7,842.35 : x
  2. Step 2: Convert to fraction form
    11,185.70/16,745.74 = 7,842.35/x
  3. Step 3: Cross multiply
    11,185.70x = 16,745.74 × 7,842.35
  4. Step 4: Simplify right side
    11,185.70x = 131,325,976.35
  5. Step 5: Solve for x
    x = 131,325,976.35/11,185.70
  6. Step 6: Final answer
    x = 11,740.53

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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.