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Finding the Fourth Proportional to 11,915.30, 17,871.48 and 6,920.42

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Solution

The fourth proportional to 11,915.30, 17,871.48 and 6,920.42 is: 10,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.30 : 17,871.48 = 6,920.42 : x
  2. Step 2: Convert to fraction form
    11,915.30/17,871.48 = 6,920.42/x
  3. Step 3: Cross multiply
    11,915.30x = 17,871.48 × 6,920.42
  4. Step 4: Simplify right side
    11,915.30x = 123,678,147.62
  5. Step 5: Solve for x
    x = 123,678,147.62/11,915.30
  6. Step 6: Final answer
    x = 10,379.78

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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.