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Finding the Fourth Proportional to 8,467.58, 12,704.96 and 4,567.44

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Solution

The fourth proportional to 8,467.58, 12,704.96 and 4,567.44 is: 6,853.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,467.58 : 12,704.96 = 4,567.44 : x
  2. Step 2: Convert to fraction form
    8,467.58/12,704.96 = 4,567.44/x
  3. Step 3: Cross multiply
    8,467.58x = 12,704.96 × 4,567.44
  4. Step 4: Simplify right side
    8,467.58x = 58,029,142.50
  5. Step 5: Solve for x
    x = 58,029,142.50/8,467.58
  6. Step 6: Final answer
    x = 6,853.10

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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.