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Finding the Fourth Proportional to 11,898.18, 16,421.24 and 6,861.42

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Solution

The fourth proportional to 11,898.18, 16,421.24 and 6,861.42 is: 9,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.18 : 16,421.24 = 6,861.42 : x
  2. Step 2: Convert to fraction form
    11,898.18/16,421.24 = 6,861.42/x
  3. Step 3: Cross multiply
    11,898.18x = 16,421.24 × 6,861.42
  4. Step 4: Simplify right side
    11,898.18x = 112,673,024.56
  5. Step 5: Solve for x
    x = 112,673,024.56/11,898.18
  6. Step 6: Final answer
    x = 9,469.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.