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Finding the Fourth Proportional to 7,677.65, 11,516.49 and 2,131.29

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Solution

The fourth proportional to 7,677.65, 11,516.49 and 2,131.29 is: 3,196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.65 : 11,516.49 = 2,131.29 : x
  2. Step 2: Convert to fraction form
    7,677.65/11,516.49 = 2,131.29/x
  3. Step 3: Cross multiply
    7,677.65x = 11,516.49 × 2,131.29
  4. Step 4: Simplify right side
    7,677.65x = 24,544,979.97
  5. Step 5: Solve for x
    x = 24,544,979.97/7,677.65
  6. Step 6: Final answer
    x = 3,196.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.