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Finding the Fourth Proportional to 11,166.63, 15,409.94 and 6,198.63

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Solution

The fourth proportional to 11,166.63, 15,409.94 and 6,198.63 is: 8,554.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,166.63 : 15,409.94 = 6,198.63 : x
  2. Step 2: Convert to fraction form
    11,166.63/15,409.94 = 6,198.63/x
  3. Step 3: Cross multiply
    11,166.63x = 15,409.94 × 6,198.63
  4. Step 4: Simplify right side
    11,166.63x = 95,520,516.38
  5. Step 5: Solve for x
    x = 95,520,516.38/11,166.63
  6. Step 6: Final answer
    x = 8,554.10

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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.