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Finding the Fourth Proportional to 7,666.67, 11,500.11 and 2,736.61

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Solution

The fourth proportional to 7,666.67, 11,500.11 and 2,736.61 is: 4,104.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.67 : 11,500.11 = 2,736.61 : x
  2. Step 2: Convert to fraction form
    7,666.67/11,500.11 = 2,736.61/x
  3. Step 3: Cross multiply
    7,666.67x = 11,500.11 × 2,736.61
  4. Step 4: Simplify right side
    7,666.67x = 31,471,287.28
  5. Step 5: Solve for x
    x = 31,471,287.28/7,666.67
  6. Step 6: Final answer
    x = 4,104.95

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Why These Related Problems?

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