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Finding the Fourth Proportional to 11,806.21, 16,291.94 and 6,770.18

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Solution

The fourth proportional to 11,806.21, 16,291.94 and 6,770.18 is: 9,342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.21 : 16,291.94 = 6,770.18 : x
  2. Step 2: Convert to fraction form
    11,806.21/16,291.94 = 6,770.18/x
  3. Step 3: Cross multiply
    11,806.21x = 16,291.94 × 6,770.18
  4. Step 4: Simplify right side
    11,806.21x = 110,299,373.23
  5. Step 5: Solve for x
    x = 110,299,373.23/11,806.21
  6. Step 6: Final answer
    x = 9,342.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.