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Finding the Fourth Proportional to 8,729.72, 13,086.06 and 5,770.36

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Solution

The fourth proportional to 8,729.72, 13,086.06 and 5,770.36 is: 8,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.72 : 13,086.06 = 5,770.36 : x
  2. Step 2: Convert to fraction form
    8,729.72/13,086.06 = 5,770.36/x
  3. Step 3: Cross multiply
    8,729.72x = 13,086.06 × 5,770.36
  4. Step 4: Simplify right side
    8,729.72x = 75,511,277.18
  5. Step 5: Solve for x
    x = 75,511,277.18/8,729.72
  6. Step 6: Final answer
    x = 8,649.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.