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Finding the Fourth Proportional to 8,219.69, 11,358.11 and 5,857.73

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Solution

The fourth proportional to 8,219.69, 11,358.11 and 5,857.73 is: 8,094.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.69 : 11,358.11 = 5,857.73 : x
  2. Step 2: Convert to fraction form
    8,219.69/11,358.11 = 5,857.73/x
  3. Step 3: Cross multiply
    8,219.69x = 11,358.11 × 5,857.73
  4. Step 4: Simplify right side
    8,219.69x = 66,532,699.54
  5. Step 5: Solve for x
    x = 66,532,699.54/8,219.69
  6. Step 6: Final answer
    x = 8,094.31

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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.