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Finding the Fourth Proportional to 10,729.73, 14,806.06 and 5,949.65

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Solution

The fourth proportional to 10,729.73, 14,806.06 and 5,949.65 is: 8,209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.73 : 14,806.06 = 5,949.65 : x
  2. Step 2: Convert to fraction form
    10,729.73/14,806.06 = 5,949.65/x
  3. Step 3: Cross multiply
    10,729.73x = 14,806.06 × 5,949.65
  4. Step 4: Simplify right side
    10,729.73x = 88,090,897.02
  5. Step 5: Solve for x
    x = 88,090,897.02/10,729.73
  6. Step 6: Final answer
    x = 8,209.98

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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.