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Finding the Fourth Proportional to 11,913.72, 16,446.36 and 8,142.99

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Solution

The fourth proportional to 11,913.72, 16,446.36 and 8,142.99 is: 11,241.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.72 : 16,446.36 = 8,142.99 : x
  2. Step 2: Convert to fraction form
    11,913.72/16,446.36 = 8,142.99/x
  3. Step 3: Cross multiply
    11,913.72x = 16,446.36 × 8,142.99
  4. Step 4: Simplify right side
    11,913.72x = 133,922,545.02
  5. Step 5: Solve for x
    x = 133,922,545.02/11,913.72
  6. Step 6: Final answer
    x = 11,241.04

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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.