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Finding the Fourth Proportional to 11,907.50, 17,861.66 and 4,791.65

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Solution

The fourth proportional to 11,907.50, 17,861.66 and 4,791.65 is: 7,187.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.50 : 17,861.66 = 4,791.65 : x
  2. Step 2: Convert to fraction form
    11,907.50/17,861.66 = 4,791.65/x
  3. Step 3: Cross multiply
    11,907.50x = 17,861.66 × 4,791.65
  4. Step 4: Simplify right side
    11,907.50x = 85,586,799.18
  5. Step 5: Solve for x
    x = 85,586,799.18/11,907.50
  6. Step 6: Final answer
    x = 7,187.64

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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.