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Finding the Fourth Proportional to 8,023.62, 11,054.97 and 5,998.62

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Solution

The fourth proportional to 8,023.62, 11,054.97 and 5,998.62 is: 8,264.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.62 : 11,054.97 = 5,998.62 : x
  2. Step 2: Convert to fraction form
    8,023.62/11,054.97 = 5,998.62/x
  3. Step 3: Cross multiply
    8,023.62x = 11,054.97 × 5,998.62
  4. Step 4: Simplify right side
    8,023.62x = 66,314,564.14
  5. Step 5: Solve for x
    x = 66,314,564.14/8,023.62
  6. Step 6: Final answer
    x = 8,264.92

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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.