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Finding the Fourth Proportional to 11,651.51, 17,486.49 and 5,082.31

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Solution

The fourth proportional to 11,651.51, 17,486.49 and 5,082.31 is: 7,627.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.51 : 17,486.49 = 5,082.31 : x
  2. Step 2: Convert to fraction form
    11,651.51/17,486.49 = 5,082.31/x
  3. Step 3: Cross multiply
    11,651.51x = 17,486.49 × 5,082.31
  4. Step 4: Simplify right side
    11,651.51x = 88,871,667.43
  5. Step 5: Solve for x
    x = 88,871,667.43/11,651.51
  6. Step 6: Final answer
    x = 7,627.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.