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Finding the Fourth Proportional to 8,167.04, 12,256 and 5,247.44

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Solution

The fourth proportional to 8,167.04, 12,256 and 5,247.44 is: 7,874.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.04 : 12,256 = 5,247.44 : x
  2. Step 2: Convert to fraction form
    8,167.04/12,256 = 5,247.44/x
  3. Step 3: Cross multiply
    8,167.04x = 12,256 × 5,247.44
  4. Step 4: Simplify right side
    8,167.04x = 64,312,624.64
  5. Step 5: Solve for x
    x = 64,312,624.64/8,167.04
  6. Step 6: Final answer
    x = 7,874.66

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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.