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Finding the Fourth Proportional to 10,729.73, 14,806.76 and 5,949.69

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Solution

The fourth proportional to 10,729.73, 14,806.76 and 5,949.69 is: 8,210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.73 : 14,806.76 = 5,949.69 : x
  2. Step 2: Convert to fraction form
    10,729.73/14,806.76 = 5,949.69/x
  3. Step 3: Cross multiply
    10,729.73x = 14,806.76 × 5,949.69
  4. Step 4: Simplify right side
    10,729.73x = 88,095,629.92
  5. Step 5: Solve for x
    x = 88,095,629.92/10,729.73
  6. Step 6: Final answer
    x = 8,210.43

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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.