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Finding the Fourth Proportional to 8,198.70, 11,314.29 and 4,661.91

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Solution

The fourth proportional to 8,198.70, 11,314.29 and 4,661.91 is: 6,433.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.70 : 11,314.29 = 4,661.91 : x
  2. Step 2: Convert to fraction form
    8,198.70/11,314.29 = 4,661.91/x
  3. Step 3: Cross multiply
    8,198.70x = 11,314.29 × 4,661.91
  4. Step 4: Simplify right side
    8,198.70x = 52,746,201.69
  5. Step 5: Solve for x
    x = 52,746,201.69/8,198.70
  6. Step 6: Final answer
    x = 6,433.48

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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.