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Finding the Fourth Proportional to 8,269.50, 11,412.96 and 6,276.62

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Solution

The fourth proportional to 8,269.50, 11,412.96 and 6,276.62 is: 8,662.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.50 : 11,412.96 = 6,276.62 : x
  2. Step 2: Convert to fraction form
    8,269.50/11,412.96 = 6,276.62/x
  3. Step 3: Cross multiply
    8,269.50x = 11,412.96 × 6,276.62
  4. Step 4: Simplify right side
    8,269.50x = 71,634,813.00
  5. Step 5: Solve for x
    x = 71,634,813.00/8,269.50
  6. Step 6: Final answer
    x = 8,662.53

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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.