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Finding the Fourth Proportional to 10,471.69, 14,450.75 and 5,755.87

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Solution

The fourth proportional to 10,471.69, 14,450.75 and 5,755.87 is: 7,942.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.69 : 14,450.75 = 5,755.87 : x
  2. Step 2: Convert to fraction form
    10,471.69/14,450.75 = 5,755.87/x
  3. Step 3: Cross multiply
    10,471.69x = 14,450.75 × 5,755.87
  4. Step 4: Simplify right side
    10,471.69x = 83,176,537.37
  5. Step 5: Solve for x
    x = 83,176,537.37/10,471.69
  6. Step 6: Final answer
    x = 7,942.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.