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Finding the Fourth Proportional to 8,285.44, 12,428.16 and 5,680.48

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Solution

The fourth proportional to 8,285.44, 12,428.16 and 5,680.48 is: 8,520.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.44 : 12,428.16 = 5,680.48 : x
  2. Step 2: Convert to fraction form
    8,285.44/12,428.16 = 5,680.48/x
  3. Step 3: Cross multiply
    8,285.44x = 12,428.16 × 5,680.48
  4. Step 4: Simplify right side
    8,285.44x = 70,597,914.32
  5. Step 5: Solve for x
    x = 70,597,914.32/8,285.44
  6. Step 6: Final answer
    x = 8,520.72

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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.