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Finding the Fourth Proportional to 8,502.09, 11,729.68 and 6,269.29

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Solution

The fourth proportional to 8,502.09, 11,729.68 and 6,269.29 is: 8,649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.09 : 11,729.68 = 6,269.29 : x
  2. Step 2: Convert to fraction form
    8,502.09/11,729.68 = 6,269.29/x
  3. Step 3: Cross multiply
    8,502.09x = 11,729.68 × 6,269.29
  4. Step 4: Simplify right side
    8,502.09x = 73,536,765.53
  5. Step 5: Solve for x
    x = 73,536,765.53/8,502.09
  6. Step 6: Final answer
    x = 8,649.26

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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.