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Finding the Fourth Proportional to 10,296.56, 14,170.95 and 8,489.59

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Solution

The fourth proportional to 10,296.56, 14,170.95 and 8,489.59 is: 11,684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.56 : 14,170.95 = 8,489.59 : x
  2. Step 2: Convert to fraction form
    10,296.56/14,170.95 = 8,489.59/x
  3. Step 3: Cross multiply
    10,296.56x = 14,170.95 × 8,489.59
  4. Step 4: Simplify right side
    10,296.56x = 120,305,519.98
  5. Step 5: Solve for x
    x = 120,305,519.98/10,296.56
  6. Step 6: Final answer
    x = 11,684.05

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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.