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Finding the Fourth Proportional to 10,471.92, 14,450.70 and 5,755.29

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Solution

The fourth proportional to 10,471.92, 14,450.70 and 5,755.29 is: 7,942.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.92 : 14,450.70 = 5,755.29 : x
  2. Step 2: Convert to fraction form
    10,471.92/14,450.70 = 5,755.29/x
  3. Step 3: Cross multiply
    10,471.92x = 14,450.70 × 5,755.29
  4. Step 4: Simplify right side
    10,471.92x = 83,167,969.20
  5. Step 5: Solve for x
    x = 83,167,969.20/10,471.92
  6. Step 6: Final answer
    x = 7,942.00

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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.