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Finding the Fourth Proportional to 11,728.89, 17,595.97 and 3,937.50

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Solution

The fourth proportional to 11,728.89, 17,595.97 and 3,937.50 is: 5,907.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.89 : 17,595.97 = 3,937.50 : x
  2. Step 2: Convert to fraction form
    11,728.89/17,595.97 = 3,937.50/x
  3. Step 3: Cross multiply
    11,728.89x = 17,595.97 × 3,937.50
  4. Step 4: Simplify right side
    11,728.89x = 69,284,122.03
  5. Step 5: Solve for x
    x = 69,284,122.03/11,728.89
  6. Step 6: Final answer
    x = 5,907.13

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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.