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Finding the Fourth Proportional to 8,576.43, 12,848.00 and 6,320.86

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Solution

The fourth proportional to 8,576.43, 12,848.00 and 6,320.86 is: 9,469.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.43 : 12,848.00 = 6,320.86 : x
  2. Step 2: Convert to fraction form
    8,576.43/12,848.00 = 6,320.86/x
  3. Step 3: Cross multiply
    8,576.43x = 12,848.00 × 6,320.86
  4. Step 4: Simplify right side
    8,576.43x = 81,210,377.68
  5. Step 5: Solve for x
    x = 81,210,377.68/8,576.43
  6. Step 6: Final answer
    x = 9,469.02

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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.