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Finding the Fourth Proportional to 8,147.67, 11,243.75 and 4,421.67

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Solution

The fourth proportional to 8,147.67, 11,243.75 and 4,421.67 is: 6,101.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.67 : 11,243.75 = 4,421.67 : x
  2. Step 2: Convert to fraction form
    8,147.67/11,243.75 = 4,421.67/x
  3. Step 3: Cross multiply
    8,147.67x = 11,243.75 × 4,421.67
  4. Step 4: Simplify right side
    8,147.67x = 49,716,129.95
  5. Step 5: Solve for x
    x = 49,716,129.95/8,147.67
  6. Step 6: Final answer
    x = 6,101.88

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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.