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Finding the Fourth Proportional to 10,471.87, 14,452.19 and 5,994.73

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Solution

The fourth proportional to 10,471.87, 14,452.19 and 5,994.73 is: 8,273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.87 : 14,452.19 = 5,994.73 : x
  2. Step 2: Convert to fraction form
    10,471.87/14,452.19 = 5,994.73/x
  3. Step 3: Cross multiply
    10,471.87x = 14,452.19 × 5,994.73
  4. Step 4: Simplify right side
    10,471.87x = 86,636,976.96
  5. Step 5: Solve for x
    x = 86,636,976.96/10,471.87
  6. Step 6: Final answer
    x = 8,273.31

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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.