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Finding the Fourth Proportional to 7,833.82, 11,751.92 and 2,287.55

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Solution

The fourth proportional to 7,833.82, 11,751.92 and 2,287.55 is: 3,431.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.82 : 11,751.92 = 2,287.55 : x
  2. Step 2: Convert to fraction form
    7,833.82/11,751.92 = 2,287.55/x
  3. Step 3: Cross multiply
    7,833.82x = 11,751.92 × 2,287.55
  4. Step 4: Simplify right side
    7,833.82x = 26,883,104.60
  5. Step 5: Solve for x
    x = 26,883,104.60/7,833.82
  6. Step 6: Final answer
    x = 3,431.67

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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.