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Finding the Fourth Proportional to 10,241.74, 14,133.78 and 5,993.14

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Solution

The fourth proportional to 10,241.74, 14,133.78 and 5,993.14 is: 8,270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.74 : 14,133.78 = 5,993.14 : x
  2. Step 2: Convert to fraction form
    10,241.74/14,133.78 = 5,993.14/x
  3. Step 3: Cross multiply
    10,241.74x = 14,133.78 × 5,993.14
  4. Step 4: Simplify right side
    10,241.74x = 84,705,722.27
  5. Step 5: Solve for x
    x = 84,705,722.27/10,241.74
  6. Step 6: Final answer
    x = 8,270.64

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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.