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Finding the Fourth Proportional to 11,072.50, 16,604.70 and 3,675.58

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Solution

The fourth proportional to 11,072.50, 16,604.70 and 3,675.58 is: 5,512.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,072.50 : 16,604.70 = 3,675.58 : x
  2. Step 2: Convert to fraction form
    11,072.50/16,604.70 = 3,675.58/x
  3. Step 3: Cross multiply
    11,072.50x = 16,604.70 × 3,675.58
  4. Step 4: Simplify right side
    11,072.50x = 61,031,847.93
  5. Step 5: Solve for x
    x = 61,031,847.93/11,072.50
  6. Step 6: Final answer
    x = 5,512.02

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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.