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Finding the Fourth Proportional to 8,992.83, 13,489.11 and 3,149.49

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Solution

The fourth proportional to 8,992.83, 13,489.11 and 3,149.49 is: 4,724.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,992.83 : 13,489.11 = 3,149.49 : x
  2. Step 2: Convert to fraction form
    8,992.83/13,489.11 = 3,149.49/x
  3. Step 3: Cross multiply
    8,992.83x = 13,489.11 × 3,149.49
  4. Step 4: Simplify right side
    8,992.83x = 42,483,817.05
  5. Step 5: Solve for x
    x = 42,483,817.05/8,992.83
  6. Step 6: Final answer
    x = 4,724.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.