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Finding the Fourth Proportional to 7,993.20, 11,029.44 and 4,636.29

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Solution

The fourth proportional to 7,993.20, 11,029.44 and 4,636.29 is: 6,397.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993.20 : 11,029.44 = 4,636.29 : x
  2. Step 2: Convert to fraction form
    7,993.20/11,029.44 = 4,636.29/x
  3. Step 3: Cross multiply
    7,993.20x = 11,029.44 × 4,636.29
  4. Step 4: Simplify right side
    7,993.20x = 51,135,682.38
  5. Step 5: Solve for x
    x = 51,135,682.38/7,993.20
  6. Step 6: Final answer
    x = 6,397.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.