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Finding the Fourth Proportional to 11,856.42, 17,778.69 and 6,927.84

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Solution

The fourth proportional to 11,856.42, 17,778.69 and 6,927.84 is: 10,388.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.42 : 17,778.69 = 6,927.84 : x
  2. Step 2: Convert to fraction form
    11,856.42/17,778.69 = 6,927.84/x
  3. Step 3: Cross multiply
    11,856.42x = 17,778.69 × 6,927.84
  4. Step 4: Simplify right side
    11,856.42x = 123,167,919.73
  5. Step 5: Solve for x
    x = 123,167,919.73/11,856.42
  6. Step 6: Final answer
    x = 10,388.29

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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.