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Finding the Fourth Proportional to 8,023.67, 11,072.84 and 4,486.81

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Solution

The fourth proportional to 8,023.67, 11,072.84 and 4,486.81 is: 6,191.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.67 : 11,072.84 = 4,486.81 : x
  2. Step 2: Convert to fraction form
    8,023.67/11,072.84 = 4,486.81/x
  3. Step 3: Cross multiply
    8,023.67x = 11,072.84 × 4,486.81
  4. Step 4: Simplify right side
    8,023.67x = 49,681,729.24
  5. Step 5: Solve for x
    x = 49,681,729.24/8,023.67
  6. Step 6: Final answer
    x = 6,191.90

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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.