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Finding the Fourth Proportional to 10,267.80, 14,164.53 and 6,489.15

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Solution

The fourth proportional to 10,267.80, 14,164.53 and 6,489.15 is: 8,951.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.80 : 14,164.53 = 6,489.15 : x
  2. Step 2: Convert to fraction form
    10,267.80/14,164.53 = 6,489.15/x
  3. Step 3: Cross multiply
    10,267.80x = 14,164.53 × 6,489.15
  4. Step 4: Simplify right side
    10,267.80x = 91,915,759.85
  5. Step 5: Solve for x
    x = 91,915,759.85/10,267.80
  6. Step 6: Final answer
    x = 8,951.85

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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.