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Finding the Fourth Proportional to 10,769.51, 14,863.26 and 6,520.73

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Solution

The fourth proportional to 10,769.51, 14,863.26 and 6,520.73 is: 8,999.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.51 : 14,863.26 = 6,520.73 : x
  2. Step 2: Convert to fraction form
    10,769.51/14,863.26 = 6,520.73/x
  3. Step 3: Cross multiply
    10,769.51x = 14,863.26 × 6,520.73
  4. Step 4: Simplify right side
    10,769.51x = 96,919,231.06
  5. Step 5: Solve for x
    x = 96,919,231.06/10,769.51
  6. Step 6: Final answer
    x = 8,999.41

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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.