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Finding the Fourth Proportional to 8,198.88, 11,314.48 and 4,661.28

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Solution

The fourth proportional to 8,198.88, 11,314.48 and 4,661.28 is: 6,432.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.88 : 11,314.48 = 4,661.28 : x
  2. Step 2: Convert to fraction form
    8,198.88/11,314.48 = 4,661.28/x
  3. Step 3: Cross multiply
    8,198.88x = 11,314.48 × 4,661.28
  4. Step 4: Simplify right side
    8,198.88x = 52,739,959.33
  5. Step 5: Solve for x
    x = 52,739,959.33/8,198.88
  6. Step 6: Final answer
    x = 6,432.58

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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.