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Finding the Fourth Proportional to 10,715.38, 16,072.92 and 10,450.66

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Solution

The fourth proportional to 10,715.38, 16,072.92 and 10,450.66 is: 15,675.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.38 : 16,072.92 = 10,450.66 : x
  2. Step 2: Convert to fraction form
    10,715.38/16,072.92 = 10,450.66/x
  3. Step 3: Cross multiply
    10,715.38x = 16,072.92 × 10,450.66
  4. Step 4: Simplify right side
    10,715.38x = 167,972,622.13
  5. Step 5: Solve for x
    x = 167,972,622.13/10,715.38
  6. Step 6: Final answer
    x = 15,675.84

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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.