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Finding the Fourth Proportional to 11,649.69, 17,474.74 and 3,858.71

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Solution

The fourth proportional to 11,649.69, 17,474.74 and 3,858.71 is: 5,788.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.69 : 17,474.74 = 3,858.71 : x
  2. Step 2: Convert to fraction form
    11,649.69/17,474.74 = 3,858.71/x
  3. Step 3: Cross multiply
    11,649.69x = 17,474.74 × 3,858.71
  4. Step 4: Simplify right side
    11,649.69x = 67,429,856.96
  5. Step 5: Solve for x
    x = 67,429,856.96/11,649.69
  6. Step 6: Final answer
    x = 5,788.12

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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.