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Finding the Fourth Proportional to 8,204.48, 12,278.88 and 6,889.64

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Solution

The fourth proportional to 8,204.48, 12,278.88 and 6,889.64 is: 10,311.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.48 : 12,278.88 = 6,889.64 : x
  2. Step 2: Convert to fraction form
    8,204.48/12,278.88 = 6,889.64/x
  3. Step 3: Cross multiply
    8,204.48x = 12,278.88 × 6,889.64
  4. Step 4: Simplify right side
    8,204.48x = 84,597,062.80
  5. Step 5: Solve for x
    x = 84,597,062.80/8,204.48
  6. Step 6: Final answer
    x = 10,311.08

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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.