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Finding the Fourth Proportional to 11,711.79, 16,164.24 and 9,212.94

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Solution

The fourth proportional to 11,711.79, 16,164.24 and 9,212.94 is: 12,715.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.79 : 16,164.24 = 9,212.94 : x
  2. Step 2: Convert to fraction form
    11,711.79/16,164.24 = 9,212.94/x
  3. Step 3: Cross multiply
    11,711.79x = 16,164.24 × 9,212.94
  4. Step 4: Simplify right side
    11,711.79x = 148,920,173.27
  5. Step 5: Solve for x
    x = 148,920,173.27/11,711.79
  6. Step 6: Final answer
    x = 12,715.41

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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.