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Finding the Fourth Proportional to 11,911.42, 17,869.02 and 4,120.84

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Solution

The fourth proportional to 11,911.42, 17,869.02 and 4,120.84 is: 6,181.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.42 : 17,869.02 = 4,120.84 : x
  2. Step 2: Convert to fraction form
    11,911.42/17,869.02 = 4,120.84/x
  3. Step 3: Cross multiply
    11,911.42x = 17,869.02 × 4,120.84
  4. Step 4: Simplify right side
    11,911.42x = 73,635,372.38
  5. Step 5: Solve for x
    x = 73,635,372.38/11,911.42
  6. Step 6: Final answer
    x = 6,181.91

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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.