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Finding the Fourth Proportional to 10,729.94, 16,091.91 and 5,980.25

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Solution

The fourth proportional to 10,729.94, 16,091.91 and 5,980.25 is: 8,968.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.94 : 16,091.91 = 5,980.25 : x
  2. Step 2: Convert to fraction form
    10,729.94/16,091.91 = 5,980.25/x
  3. Step 3: Cross multiply
    10,729.94x = 16,091.91 × 5,980.25
  4. Step 4: Simplify right side
    10,729.94x = 96,233,685.01
  5. Step 5: Solve for x
    x = 96,233,685.01/10,729.94
  6. Step 6: Final answer
    x = 8,968.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.