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Finding the Fourth Proportional to 10,516.79, 15,727.22 and 7,850.27

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Solution

The fourth proportional to 10,516.79, 15,727.22 and 7,850.27 is: 11,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516.79 : 15,727.22 = 7,850.27 : x
  2. Step 2: Convert to fraction form
    10,516.79/15,727.22 = 7,850.27/x
  3. Step 3: Cross multiply
    10,516.79x = 15,727.22 × 7,850.27
  4. Step 4: Simplify right side
    10,516.79x = 123,462,952.85
  5. Step 5: Solve for x
    x = 123,462,952.85/10,516.79
  6. Step 6: Final answer
    x = 11,739.60

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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.