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Finding the Fourth Proportional to 7,728.09, 10,662.96 and 5,214.86

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Solution

The fourth proportional to 7,728.09, 10,662.96 and 5,214.86 is: 7,195.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.09 : 10,662.96 = 5,214.86 : x
  2. Step 2: Convert to fraction form
    7,728.09/10,662.96 = 5,214.86/x
  3. Step 3: Cross multiply
    7,728.09x = 10,662.96 × 5,214.86
  4. Step 4: Simplify right side
    7,728.09x = 55,605,843.59
  5. Step 5: Solve for x
    x = 55,605,843.59/7,728.09
  6. Step 6: Final answer
    x = 7,195.29

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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.