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Finding the Fourth Proportional to 8,453.92, 12,680.92 and 5,123

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Solution

The fourth proportional to 8,453.92, 12,680.92 and 5,123 is: 7,684.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453.92 : 12,680.92 = 5,123 : x
  2. Step 2: Convert to fraction form
    8,453.92/12,680.92 = 5,123/x
  3. Step 3: Cross multiply
    8,453.92x = 12,680.92 × 5,123
  4. Step 4: Simplify right side
    8,453.92x = 64,964,353.16
  5. Step 5: Solve for x
    x = 64,964,353.16/8,453.92
  6. Step 6: Final answer
    x = 7,684.52

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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.