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Finding the Fourth Proportional to 8,584.44, 12,871.74 and 4,576.90

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Solution

The fourth proportional to 8,584.44, 12,871.74 and 4,576.90 is: 6,862.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.44 : 12,871.74 = 4,576.90 : x
  2. Step 2: Convert to fraction form
    8,584.44/12,871.74 = 4,576.90/x
  3. Step 3: Cross multiply
    8,584.44x = 12,871.74 × 4,576.90
  4. Step 4: Simplify right side
    8,584.44x = 58,912,666.81
  5. Step 5: Solve for x
    x = 58,912,666.81/8,584.44
  6. Step 6: Final answer
    x = 6,862.73

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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.