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Finding the Fourth Proportional to 11,760.33, 17,643.33 and 6,765.90

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Solution

The fourth proportional to 11,760.33, 17,643.33 and 6,765.90 is: 10,150.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.33 : 17,643.33 = 6,765.90 : x
  2. Step 2: Convert to fraction form
    11,760.33/17,643.33 = 6,765.90/x
  3. Step 3: Cross multiply
    11,760.33x = 17,643.33 × 6,765.90
  4. Step 4: Simplify right side
    11,760.33x = 119,373,006.45
  5. Step 5: Solve for x
    x = 119,373,006.45/11,760.33
  6. Step 6: Final answer
    x = 10,150.48

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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.