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Finding the Fourth Proportional to 7,649.07, 11,460.01 and 3,196.93

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Solution

The fourth proportional to 7,649.07, 11,460.01 and 3,196.93 is: 4,789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.07 : 11,460.01 = 3,196.93 : x
  2. Step 2: Convert to fraction form
    7,649.07/11,460.01 = 3,196.93/x
  3. Step 3: Cross multiply
    7,649.07x = 11,460.01 × 3,196.93
  4. Step 4: Simplify right side
    7,649.07x = 36,636,847.73
  5. Step 5: Solve for x
    x = 36,636,847.73/7,649.07
  6. Step 6: Final answer
    x = 4,789.71

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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.