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Finding the Fourth Proportional to 8,634.96, 11,919.14 and 5,801.37

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Solution

The fourth proportional to 8,634.96, 11,919.14 and 5,801.37 is: 8,007.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.96 : 11,919.14 = 5,801.37 : x
  2. Step 2: Convert to fraction form
    8,634.96/11,919.14 = 5,801.37/x
  3. Step 3: Cross multiply
    8,634.96x = 11,919.14 × 5,801.37
  4. Step 4: Simplify right side
    8,634.96x = 69,147,312.21
  5. Step 5: Solve for x
    x = 69,147,312.21/8,634.96
  6. Step 6: Final answer
    x = 8,007.83

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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.