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Finding the Fourth Proportional to 11,776.20, 17,666.73 and 5,115.57

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Solution

The fourth proportional to 11,776.20, 17,666.73 and 5,115.57 is: 7,674.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.20 : 17,666.73 = 5,115.57 : x
  2. Step 2: Convert to fraction form
    11,776.20/17,666.73 = 5,115.57/x
  3. Step 3: Cross multiply
    11,776.20x = 17,666.73 × 5,115.57
  4. Step 4: Simplify right side
    11,776.20x = 90,375,393.99
  5. Step 5: Solve for x
    x = 90,375,393.99/11,776.20
  6. Step 6: Final answer
    x = 7,674.41

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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.