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Finding the Fourth Proportional to 11,806.71, 16,292.63 and 6,770.69

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Solution

The fourth proportional to 11,806.71, 16,292.63 and 6,770.69 is: 9,343.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.71 : 16,292.63 = 6,770.69 : x
  2. Step 2: Convert to fraction form
    11,806.71/16,292.63 = 6,770.69/x
  3. Step 3: Cross multiply
    11,806.71x = 16,292.63 × 6,770.69
  4. Step 4: Simplify right side
    11,806.71x = 110,312,231.70
  5. Step 5: Solve for x
    x = 110,312,231.70/11,806.71
  6. Step 6: Final answer
    x = 9,343.19

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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.