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Finding the Fourth Proportional to 11,869.88, 17,796.11 and 6,865.20

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Solution

The fourth proportional to 11,869.88, 17,796.11 and 6,865.20 is: 10,292.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.88 : 17,796.11 = 6,865.20 : x
  2. Step 2: Convert to fraction form
    11,869.88/17,796.11 = 6,865.20/x
  3. Step 3: Cross multiply
    11,869.88x = 17,796.11 × 6,865.20
  4. Step 4: Simplify right side
    11,869.88x = 122,173,820.05
  5. Step 5: Solve for x
    x = 122,173,820.05/11,869.88
  6. Step 6: Final answer
    x = 10,292.76

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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.