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Finding the Fourth Proportional to 10,726.56, 16,069.60 and 5,163.52

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Solution

The fourth proportional to 10,726.56, 16,069.60 and 5,163.52 is: 7,735.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.56 : 16,069.60 = 5,163.52 : x
  2. Step 2: Convert to fraction form
    10,726.56/16,069.60 = 5,163.52/x
  3. Step 3: Cross multiply
    10,726.56x = 16,069.60 × 5,163.52
  4. Step 4: Simplify right side
    10,726.56x = 82,975,700.99
  5. Step 5: Solve for x
    x = 82,975,700.99/10,726.56
  6. Step 6: Final answer
    x = 7,735.54

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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.