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Finding the Fourth Proportional to 8,097.36, 11,180.52 and 7,968.24

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Solution

The fourth proportional to 8,097.36, 11,180.52 and 7,968.24 is: 11,002.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.36 : 11,180.52 = 7,968.24 : x
  2. Step 2: Convert to fraction form
    8,097.36/11,180.52 = 7,968.24/x
  3. Step 3: Cross multiply
    8,097.36x = 11,180.52 × 7,968.24
  4. Step 4: Simplify right side
    8,097.36x = 89,089,066.68
  5. Step 5: Solve for x
    x = 89,089,066.68/8,097.36
  6. Step 6: Final answer
    x = 11,002.24

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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.