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Finding the Fourth Proportional to 8,046.92, 12,070.38 and 4,576.88

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Solution

The fourth proportional to 8,046.92, 12,070.38 and 4,576.88 is: 6,865.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.92 : 12,070.38 = 4,576.88 : x
  2. Step 2: Convert to fraction form
    8,046.92/12,070.38 = 4,576.88/x
  3. Step 3: Cross multiply
    8,046.92x = 12,070.38 × 4,576.88
  4. Step 4: Simplify right side
    8,046.92x = 55,244,620.46
  5. Step 5: Solve for x
    x = 55,244,620.46/8,046.92
  6. Step 6: Final answer
    x = 6,865.32

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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.