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Finding the Fourth Proportional to 10,713.36, 14,785.84 and 5,998.62

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Solution

The fourth proportional to 10,713.36, 14,785.84 and 5,998.62 is: 8,278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.36 : 14,785.84 = 5,998.62 : x
  2. Step 2: Convert to fraction form
    10,713.36/14,785.84 = 5,998.62/x
  3. Step 3: Cross multiply
    10,713.36x = 14,785.84 × 5,998.62
  4. Step 4: Simplify right side
    10,713.36x = 88,694,635.54
  5. Step 5: Solve for x
    x = 88,694,635.54/10,713.36
  6. Step 6: Final answer
    x = 8,278.88

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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.