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Finding the Fourth Proportional to 10,713.82, 14,785.27 and 5,998.09

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Solution

The fourth proportional to 10,713.82, 14,785.27 and 5,998.09 is: 8,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.82 : 14,785.27 = 5,998.09 : x
  2. Step 2: Convert to fraction form
    10,713.82/14,785.27 = 5,998.09/x
  3. Step 3: Cross multiply
    10,713.82x = 14,785.27 × 5,998.09
  4. Step 4: Simplify right side
    10,713.82x = 88,683,380.13
  5. Step 5: Solve for x
    x = 88,683,380.13/10,713.82
  6. Step 6: Final answer
    x = 8,277.48

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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.