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Finding the Fourth Proportional to 11,164.14, 16,744.65 and 3,767.64

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Solution

The fourth proportional to 11,164.14, 16,744.65 and 3,767.64 is: 5,650.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.14 : 16,744.65 = 3,767.64 : x
  2. Step 2: Convert to fraction form
    11,164.14/16,744.65 = 3,767.64/x
  3. Step 3: Cross multiply
    11,164.14x = 16,744.65 × 3,767.64
  4. Step 4: Simplify right side
    11,164.14x = 63,087,813.13
  5. Step 5: Solve for x
    x = 63,087,813.13/11,164.14
  6. Step 6: Final answer
    x = 5,650.93

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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.