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Finding the Fourth Proportional to 10,863.90, 16,294.23 and 6,861.42

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Solution

The fourth proportional to 10,863.90, 16,294.23 and 6,861.42 is: 10,291.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.90 : 16,294.23 = 6,861.42 : x
  2. Step 2: Convert to fraction form
    10,863.90/16,294.23 = 6,861.42/x
  3. Step 3: Cross multiply
    10,863.90x = 16,294.23 × 6,861.42
  4. Step 4: Simplify right side
    10,863.90x = 111,801,555.61
  5. Step 5: Solve for x
    x = 111,801,555.61/10,863.90
  6. Step 6: Final answer
    x = 10,291.11

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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.