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Finding the Fourth Proportional to 10,729.67, 14,806.55 and 5,949.82

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Solution

The fourth proportional to 10,729.67, 14,806.55 and 5,949.82 is: 8,210.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.67 : 14,806.55 = 5,949.82 : x
  2. Step 2: Convert to fraction form
    10,729.67/14,806.55 = 5,949.82/x
  3. Step 3: Cross multiply
    10,729.67x = 14,806.55 × 5,949.82
  4. Step 4: Simplify right side
    10,729.67x = 88,096,285.18
  5. Step 5: Solve for x
    x = 88,096,285.18/10,729.67
  6. Step 6: Final answer
    x = 8,210.53

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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.