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Finding the Fourth Proportional to 8,096, 12,128.46 and 4,966.88

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Solution

The fourth proportional to 8,096, 12,128.46 and 4,966.88 is: 7,440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096 : 12,128.46 = 4,966.88 : x
  2. Step 2: Convert to fraction form
    8,096/12,128.46 = 4,966.88/x
  3. Step 3: Cross multiply
    8,096x = 12,128.46 × 4,966.88
  4. Step 4: Simplify right side
    8,096x = 60,240,605.40
  5. Step 5: Solve for x
    x = 60,240,605.40/8,096
  6. Step 6: Final answer
    x = 7,440.79

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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.