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Finding the Fourth Proportional to 5,336.97, 8,014.10 and 5,112.33

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Solution

The fourth proportional to 5,336.97, 8,014.10 and 5,112.33 is: 7,676.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.97 : 8,014.10 = 5,112.33 : x
  2. Step 2: Convert to fraction form
    5,336.97/8,014.10 = 5,112.33/x
  3. Step 3: Cross multiply
    5,336.97x = 8,014.10 × 5,112.33
  4. Step 4: Simplify right side
    5,336.97x = 40,970,698.29
  5. Step 5: Solve for x
    x = 40,970,698.29/5,336.97
  6. Step 6: Final answer
    x = 7,676.77

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