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Finding the Fourth Proportional to 7,720.35, 11,573.69 and 3,769.43

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Solution

The fourth proportional to 7,720.35, 11,573.69 and 3,769.43 is: 5,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.35 : 11,573.69 = 3,769.43 : x
  2. Step 2: Convert to fraction form
    7,720.35/11,573.69 = 3,769.43/x
  3. Step 3: Cross multiply
    7,720.35x = 11,573.69 × 3,769.43
  4. Step 4: Simplify right side
    7,720.35x = 43,626,137.58
  5. Step 5: Solve for x
    x = 43,626,137.58/7,720.35
  6. Step 6: Final answer
    x = 5,650.80

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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.