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Finding the Fourth Proportional to 11,715.89, 16,167.79 and 6,410.65

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Solution

The fourth proportional to 11,715.89, 16,167.79 and 6,410.65 is: 8,846.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.89 : 16,167.79 = 6,410.65 : x
  2. Step 2: Convert to fraction form
    11,715.89/16,167.79 = 6,410.65/x
  3. Step 3: Cross multiply
    11,715.89x = 16,167.79 × 6,410.65
  4. Step 4: Simplify right side
    11,715.89x = 103,646,042.96
  5. Step 5: Solve for x
    x = 103,646,042.96/11,715.89
  6. Step 6: Final answer
    x = 8,846.62

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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.