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Finding the Fourth Proportional to 10,471.10, 14,449.59 and 5,755.55

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Solution

The fourth proportional to 10,471.10, 14,449.59 and 5,755.55 is: 7,942.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.10 : 14,449.59 = 5,755.55 : x
  2. Step 2: Convert to fraction form
    10,471.10/14,449.59 = 5,755.55/x
  3. Step 3: Cross multiply
    10,471.10x = 14,449.59 × 5,755.55
  4. Step 4: Simplify right side
    10,471.10x = 83,165,265.48
  5. Step 5: Solve for x
    x = 83,165,265.48/10,471.10
  6. Step 6: Final answer
    x = 7,942.37

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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.