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Finding the Fourth Proportional to 11,723.28, 16,178.76 and 6,755.28

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Solution

The fourth proportional to 11,723.28, 16,178.76 and 6,755.28 is: 9,322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,723.28 : 16,178.76 = 6,755.28 : x
  2. Step 2: Convert to fraction form
    11,723.28/16,178.76 = 6,755.28/x
  3. Step 3: Cross multiply
    11,723.28x = 16,178.76 × 6,755.28
  4. Step 4: Simplify right side
    11,723.28x = 109,292,053.85
  5. Step 5: Solve for x
    x = 109,292,053.85/11,723.28
  6. Step 6: Final answer
    x = 9,322.65

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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.