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Finding the Fourth Proportional to 10,471.46, 14,450.52 and 5,755.72

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Solution

The fourth proportional to 10,471.46, 14,450.52 and 5,755.72 is: 7,942.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.46 : 14,450.52 = 5,755.72 : x
  2. Step 2: Convert to fraction form
    10,471.46/14,450.52 = 5,755.72/x
  3. Step 3: Cross multiply
    10,471.46x = 14,450.52 × 5,755.72
  4. Step 4: Simplify right side
    10,471.46x = 83,173,146.97
  5. Step 5: Solve for x
    x = 83,173,146.97/10,471.46
  6. Step 6: Final answer
    x = 7,942.84

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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.