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Finding the Fourth Proportional to 11,137.70, 16,706.55 and 5,305.70

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Solution

The fourth proportional to 11,137.70, 16,706.55 and 5,305.70 is: 7,958.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.70 : 16,706.55 = 5,305.70 : x
  2. Step 2: Convert to fraction form
    11,137.70/16,706.55 = 5,305.70/x
  3. Step 3: Cross multiply
    11,137.70x = 16,706.55 × 5,305.70
  4. Step 4: Simplify right side
    11,137.70x = 88,639,942.34
  5. Step 5: Solve for x
    x = 88,639,942.34/11,137.70
  6. Step 6: Final answer
    x = 7,958.55

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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.