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Finding the Fourth Proportional to 11,659.72, 17,496.84 and 5,086

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Solution

The fourth proportional to 11,659.72, 17,496.84 and 5,086 is: 7,632.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.72 : 17,496.84 = 5,086 : x
  2. Step 2: Convert to fraction form
    11,659.72/17,496.84 = 5,086/x
  3. Step 3: Cross multiply
    11,659.72x = 17,496.84 × 5,086
  4. Step 4: Simplify right side
    11,659.72x = 88,988,928.24
  5. Step 5: Solve for x
    x = 88,988,928.24/11,659.72
  6. Step 6: Final answer
    x = 7,632.17

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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.