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Finding the Fourth Proportional to 11,855.70, 17,800.02 and 6,016.50

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Solution

The fourth proportional to 11,855.70, 17,800.02 and 6,016.50 is: 9,033.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.70 : 17,800.02 = 6,016.50 : x
  2. Step 2: Convert to fraction form
    11,855.70/17,800.02 = 6,016.50/x
  3. Step 3: Cross multiply
    11,855.70x = 17,800.02 × 6,016.50
  4. Step 4: Simplify right side
    11,855.70x = 107,093,820.33
  5. Step 5: Solve for x
    x = 107,093,820.33/11,855.70
  6. Step 6: Final answer
    x = 9,033.11

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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.