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Finding the Fourth Proportional to 8,112.96, 11,197.44 and 6,784.32

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Solution

The fourth proportional to 8,112.96, 11,197.44 and 6,784.32 is: 9,363.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.96 : 11,197.44 = 6,784.32 : x
  2. Step 2: Convert to fraction form
    8,112.96/11,197.44 = 6,784.32/x
  3. Step 3: Cross multiply
    8,112.96x = 11,197.44 × 6,784.32
  4. Step 4: Simplify right side
    8,112.96x = 75,967,016.14
  5. Step 5: Solve for x
    x = 75,967,016.14/8,112.96
  6. Step 6: Final answer
    x = 9,363.66

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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.