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Finding the Fourth Proportional to 8,096.54, 12,133.87 and 4,203.68

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Solution

The fourth proportional to 8,096.54, 12,133.87 and 4,203.68 is: 6,299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.54 : 12,133.87 = 4,203.68 : x
  2. Step 2: Convert to fraction form
    8,096.54/12,133.87 = 4,203.68/x
  3. Step 3: Cross multiply
    8,096.54x = 12,133.87 × 4,203.68
  4. Step 4: Simplify right side
    8,096.54x = 51,006,835.46
  5. Step 5: Solve for x
    x = 51,006,835.46/8,096.54
  6. Step 6: Final answer
    x = 6,299.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.