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Finding the Fourth Proportional to 11,720.37, 17,596.89 and 7,760.01

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Solution

The fourth proportional to 11,720.37, 17,596.89 and 7,760.01 is: 11,650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720.37 : 17,596.89 = 7,760.01 : x
  2. Step 2: Convert to fraction form
    11,720.37/17,596.89 = 7,760.01/x
  3. Step 3: Cross multiply
    11,720.37x = 17,596.89 × 7,760.01
  4. Step 4: Simplify right side
    11,720.37x = 136,552,042.37
  5. Step 5: Solve for x
    x = 136,552,042.37/11,720.37
  6. Step 6: Final answer
    x = 11,650.83

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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.