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Finding the Fourth Proportional to 8,544.69, 11,791.34 and 4,959.47

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Solution

The fourth proportional to 8,544.69, 11,791.34 and 4,959.47 is: 6,843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544.69 : 11,791.34 = 4,959.47 : x
  2. Step 2: Convert to fraction form
    8,544.69/11,791.34 = 4,959.47/x
  3. Step 3: Cross multiply
    8,544.69x = 11,791.34 × 4,959.47
  4. Step 4: Simplify right side
    8,544.69x = 58,478,713.24
  5. Step 5: Solve for x
    x = 58,478,713.24/8,544.69
  6. Step 6: Final answer
    x = 6,843.87

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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.