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Finding the Fourth Proportional to 7,765.50, 11,650.08 and 2,571.39

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Solution

The fourth proportional to 7,765.50, 11,650.08 and 2,571.39 is: 3,857.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.50 : 11,650.08 = 2,571.39 : x
  2. Step 2: Convert to fraction form
    7,765.50/11,650.08 = 2,571.39/x
  3. Step 3: Cross multiply
    7,765.50x = 11,650.08 × 2,571.39
  4. Step 4: Simplify right side
    7,765.50x = 29,956,899.21
  5. Step 5: Solve for x
    x = 29,956,899.21/7,765.50
  6. Step 6: Final answer
    x = 3,857.69

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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.