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Finding the Fourth Proportional to 11,900.80, 16,421.96 and 6,864

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Solution

The fourth proportional to 11,900.80, 16,421.96 and 6,864 is: 9,471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.80 : 16,421.96 = 6,864 : x
  2. Step 2: Convert to fraction form
    11,900.80/16,421.96 = 6,864/x
  3. Step 3: Cross multiply
    11,900.80x = 16,421.96 × 6,864
  4. Step 4: Simplify right side
    11,900.80x = 112,720,333.44
  5. Step 5: Solve for x
    x = 112,720,333.44/11,900.80
  6. Step 6: Final answer
    x = 9,471.66

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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.