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Finding the Fourth Proportional to 7,649.83, 11,469.94 and 3,206.29

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Solution

The fourth proportional to 7,649.83, 11,469.94 and 3,206.29 is: 4,807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.83 : 11,469.94 = 3,206.29 : x
  2. Step 2: Convert to fraction form
    7,649.83/11,469.94 = 3,206.29/x
  3. Step 3: Cross multiply
    7,649.83x = 11,469.94 × 3,206.29
  4. Step 4: Simplify right side
    7,649.83x = 36,775,953.92
  5. Step 5: Solve for x
    x = 36,775,953.92/7,649.83
  6. Step 6: Final answer
    x = 4,807.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.