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Finding the Fourth Proportional to 8,198.84, 11,314.40 and 4,662.04

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Solution

The fourth proportional to 8,198.84, 11,314.40 and 4,662.04 is: 6,433.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.84 : 11,314.40 = 4,662.04 : x
  2. Step 2: Convert to fraction form
    8,198.84/11,314.40 = 4,662.04/x
  3. Step 3: Cross multiply
    8,198.84x = 11,314.40 × 4,662.04
  4. Step 4: Simplify right side
    8,198.84x = 52,748,185.38
  5. Step 5: Solve for x
    x = 52,748,185.38/8,198.84
  6. Step 6: Final answer
    x = 6,433.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.