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Finding the Fourth Proportional to 8,185.22, 11,295.73 and 4,459.22

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Solution

The fourth proportional to 8,185.22, 11,295.73 and 4,459.22 is: 6,153.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.22 : 11,295.73 = 4,459.22 : x
  2. Step 2: Convert to fraction form
    8,185.22/11,295.73 = 4,459.22/x
  3. Step 3: Cross multiply
    8,185.22x = 11,295.73 × 4,459.22
  4. Step 4: Simplify right side
    8,185.22x = 50,370,145.13
  5. Step 5: Solve for x
    x = 50,370,145.13/8,185.22
  6. Step 6: Final answer
    x = 6,153.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.