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Finding the Fourth Proportional to 7,666.68, 11,500.97 and 2,736.84

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Solution

The fourth proportional to 7,666.68, 11,500.97 and 2,736.84 is: 4,105.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.68 : 11,500.97 = 2,736.84 : x
  2. Step 2: Convert to fraction form
    7,666.68/11,500.97 = 2,736.84/x
  3. Step 3: Cross multiply
    7,666.68x = 11,500.97 × 2,736.84
  4. Step 4: Simplify right side
    7,666.68x = 31,476,301.05
  5. Step 5: Solve for x
    x = 31,476,301.05/7,666.68
  6. Step 6: Final answer
    x = 4,105.60

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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.