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Finding the Fourth Proportional to 10,443.14, 14,410.74 and 5,727.43

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Solution

The fourth proportional to 10,443.14, 14,410.74 and 5,727.43 is: 7,903.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.14 : 14,410.74 = 5,727.43 : x
  2. Step 2: Convert to fraction form
    10,443.14/14,410.74 = 5,727.43/x
  3. Step 3: Cross multiply
    10,443.14x = 14,410.74 × 5,727.43
  4. Step 4: Simplify right side
    10,443.14x = 82,536,504.60
  5. Step 5: Solve for x
    x = 82,536,504.60/10,443.14
  6. Step 6: Final answer
    x = 7,903.42

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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.