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Finding the Fourth Proportional to 11,659.47, 17,479.97 and 6,111.75

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Solution

The fourth proportional to 11,659.47, 17,479.97 and 6,111.75 is: 9,162.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.47 : 17,479.97 = 6,111.75 : x
  2. Step 2: Convert to fraction form
    11,659.47/17,479.97 = 6,111.75/x
  3. Step 3: Cross multiply
    11,659.47x = 17,479.97 × 6,111.75
  4. Step 4: Simplify right side
    11,659.47x = 106,833,176.09
  5. Step 5: Solve for x
    x = 106,833,176.09/11,659.47
  6. Step 6: Final answer
    x = 9,162.78

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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.