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Finding the Fourth Proportional to 11,840.50, 17,760.90 and 3,074.89

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Solution

The fourth proportional to 11,840.50, 17,760.90 and 3,074.89 is: 4,612.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.50 : 17,760.90 = 3,074.89 : x
  2. Step 2: Convert to fraction form
    11,840.50/17,760.90 = 3,074.89/x
  3. Step 3: Cross multiply
    11,840.50x = 17,760.90 × 3,074.89
  4. Step 4: Simplify right side
    11,840.50x = 54,612,813.80
  5. Step 5: Solve for x
    x = 54,612,813.80/11,840.50
  6. Step 6: Final answer
    x = 4,612.37

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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.