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Finding the Fourth Proportional to 11,675.66, 17,516.54 and 3,884.54

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Solution

The fourth proportional to 11,675.66, 17,516.54 and 3,884.54 is: 5,827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675.66 : 17,516.54 = 3,884.54 : x
  2. Step 2: Convert to fraction form
    11,675.66/17,516.54 = 3,884.54/x
  3. Step 3: Cross multiply
    11,675.66x = 17,516.54 × 3,884.54
  4. Step 4: Simplify right side
    11,675.66x = 68,043,622.42
  5. Step 5: Solve for x
    x = 68,043,622.42/11,675.66
  6. Step 6: Final answer
    x = 5,827.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.