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Finding the Fourth Proportional to 7,649.69, 11,479.39 and 3,267.18

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Solution

The fourth proportional to 7,649.69, 11,479.39 and 3,267.18 is: 4,902.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.69 : 11,479.39 = 3,267.18 : x
  2. Step 2: Convert to fraction form
    7,649.69/11,479.39 = 3,267.18/x
  3. Step 3: Cross multiply
    7,649.69x = 11,479.39 × 3,267.18
  4. Step 4: Simplify right side
    7,649.69x = 37,505,233.42
  5. Step 5: Solve for x
    x = 37,505,233.42/7,649.69
  6. Step 6: Final answer
    x = 4,902.84

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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.