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Finding the Fourth Proportional to 11,882.68, 17,830.17 and 6,039.29

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Solution

The fourth proportional to 11,882.68, 17,830.17 and 6,039.29 is: 9,062.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.68 : 17,830.17 = 6,039.29 : x
  2. Step 2: Convert to fraction form
    11,882.68/17,830.17 = 6,039.29/x
  3. Step 3: Cross multiply
    11,882.68x = 17,830.17 × 6,039.29
  4. Step 4: Simplify right side
    11,882.68x = 107,681,611.95
  5. Step 5: Solve for x
    x = 107,681,611.95/11,882.68
  6. Step 6: Final answer
    x = 9,062.07

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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.