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Finding the Fourth Proportional to 11,674.56, 16,109.67 and 7,200.33

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Solution

The fourth proportional to 11,674.56, 16,109.67 and 7,200.33 is: 9,935.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.56 : 16,109.67 = 7,200.33 : x
  2. Step 2: Convert to fraction form
    11,674.56/16,109.67 = 7,200.33/x
  3. Step 3: Cross multiply
    11,674.56x = 16,109.67 × 7,200.33
  4. Step 4: Simplify right side
    11,674.56x = 115,994,940.19
  5. Step 5: Solve for x
    x = 115,994,940.19/11,674.56
  6. Step 6: Final answer
    x = 9,935.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.