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Finding the Fourth Proportional to 11,185.60, 16,745.52 and 7,842.22

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Solution

The fourth proportional to 11,185.60, 16,745.52 and 7,842.22 is: 11,740.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,185.60 : 16,745.52 = 7,842.22 : x
  2. Step 2: Convert to fraction form
    11,185.60/16,745.52 = 7,842.22/x
  3. Step 3: Cross multiply
    11,185.60x = 16,745.52 × 7,842.22
  4. Step 4: Simplify right side
    11,185.60x = 131,322,051.85
  5. Step 5: Solve for x
    x = 131,322,051.85/11,185.60
  6. Step 6: Final answer
    x = 11,740.28

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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.