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Finding the Fourth Proportional to 12,010.50, 18,011.16 and 5,768.73

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Solution

The fourth proportional to 12,010.50, 18,011.16 and 5,768.73 is: 8,650.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,010.50 : 18,011.16 = 5,768.73 : x
  2. Step 2: Convert to fraction form
    12,010.50/18,011.16 = 5,768.73/x
  3. Step 3: Cross multiply
    12,010.50x = 18,011.16 × 5,768.73
  4. Step 4: Simplify right side
    12,010.50x = 103,901,519.03
  5. Step 5: Solve for x
    x = 103,901,519.03/12,010.50
  6. Step 6: Final answer
    x = 8,650.89

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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.