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Finding the Fourth Proportional to 10,122.27, 13,969.08 and 5,873.01

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Solution

The fourth proportional to 10,122.27, 13,969.08 and 5,873.01 is: 8,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.27 : 13,969.08 = 5,873.01 : x
  2. Step 2: Convert to fraction form
    10,122.27/13,969.08 = 5,873.01/x
  3. Step 3: Cross multiply
    10,122.27x = 13,969.08 × 5,873.01
  4. Step 4: Simplify right side
    10,122.27x = 82,040,546.53
  5. Step 5: Solve for x
    x = 82,040,546.53/10,122.27
  6. Step 6: Final answer
    x = 8,104.96

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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.