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Finding the Fourth Proportional to 10,471.28, 14,450.20 and 5,994.81

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Solution

The fourth proportional to 10,471.28, 14,450.20 and 5,994.81 is: 8,272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.28 : 14,450.20 = 5,994.81 : x
  2. Step 2: Convert to fraction form
    10,471.28/14,450.20 = 5,994.81/x
  3. Step 3: Cross multiply
    10,471.28x = 14,450.20 × 5,994.81
  4. Step 4: Simplify right side
    10,471.28x = 86,626,188.47
  5. Step 5: Solve for x
    x = 86,626,188.47/10,471.28
  6. Step 6: Final answer
    x = 8,272.75

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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.