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Finding the Fourth Proportional to 11,611.49, 17,419.86 and 4,215.95

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Solution

The fourth proportional to 11,611.49, 17,419.86 and 4,215.95 is: 6,324.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.49 : 17,419.86 = 4,215.95 : x
  2. Step 2: Convert to fraction form
    11,611.49/17,419.86 = 4,215.95/x
  3. Step 3: Cross multiply
    11,611.49x = 17,419.86 × 4,215.95
  4. Step 4: Simplify right side
    11,611.49x = 73,441,236.99
  5. Step 5: Solve for x
    x = 73,441,236.99/11,611.49
  6. Step 6: Final answer
    x = 6,324.88

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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.