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Finding the Fourth Proportional to 7,760.50, 11,645.87 and 3,656.82

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Solution

The fourth proportional to 7,760.50, 11,645.87 and 3,656.82 is: 5,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.50 : 11,645.87 = 3,656.82 : x
  2. Step 2: Convert to fraction form
    7,760.50/11,645.87 = 3,656.82/x
  3. Step 3: Cross multiply
    7,760.50x = 11,645.87 × 3,656.82
  4. Step 4: Simplify right side
    7,760.50x = 42,586,850.33
  5. Step 5: Solve for x
    x = 42,586,850.33/7,760.50
  6. Step 6: Final answer
    x = 5,487.64

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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.