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Finding the Fourth Proportional to 11,715.55, 16,167.89 and 6,678.96

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Solution

The fourth proportional to 11,715.55, 16,167.89 and 6,678.96 is: 9,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.55 : 16,167.89 = 6,678.96 : x
  2. Step 2: Convert to fraction form
    11,715.55/16,167.89 = 6,678.96/x
  3. Step 3: Cross multiply
    11,715.55x = 16,167.89 × 6,678.96
  4. Step 4: Simplify right side
    11,715.55x = 107,984,609.09
  5. Step 5: Solve for x
    x = 107,984,609.09/11,715.55
  6. Step 6: Final answer
    x = 9,217.20

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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.