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Finding the Fourth Proportional to 10,716.38, 16,074.42 and 10,451.66

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Solution

The fourth proportional to 10,716.38, 16,074.42 and 10,451.66 is: 15,677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.38 : 16,074.42 = 10,451.66 : x
  2. Step 2: Convert to fraction form
    10,716.38/16,074.42 = 10,451.66/x
  3. Step 3: Cross multiply
    10,716.38x = 16,074.42 × 10,451.66
  4. Step 4: Simplify right side
    10,716.38x = 168,004,372.54
  5. Step 5: Solve for x
    x = 168,004,372.54/10,716.38
  6. Step 6: Final answer
    x = 15,677.34

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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.