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Finding the Fourth Proportional to 10,155.81, 14,015.73 and 5,906.97

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Solution

The fourth proportional to 10,155.81, 14,015.73 and 5,906.97 is: 8,152.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155.81 : 14,015.73 = 5,906.97 : x
  2. Step 2: Convert to fraction form
    10,155.81/14,015.73 = 5,906.97/x
  3. Step 3: Cross multiply
    10,155.81x = 14,015.73 × 5,906.97
  4. Step 4: Simplify right side
    10,155.81x = 82,790,496.64
  5. Step 5: Solve for x
    x = 82,790,496.64/10,155.81
  6. Step 6: Final answer
    x = 8,152.03

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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.