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Finding the Fourth Proportional to 8,184.36, 11,280.93 and 5,791.28

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Solution

The fourth proportional to 8,184.36, 11,280.93 and 5,791.28 is: 7,982.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.36 : 11,280.93 = 5,791.28 : x
  2. Step 2: Convert to fraction form
    8,184.36/11,280.93 = 5,791.28/x
  3. Step 3: Cross multiply
    8,184.36x = 11,280.93 × 5,791.28
  4. Step 4: Simplify right side
    8,184.36x = 65,330,967.89
  5. Step 5: Solve for x
    x = 65,330,967.89/8,184.36
  6. Step 6: Final answer
    x = 7,982.42

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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.