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Finding the Fourth Proportional to 8,348.64, 12,512.16 and 3,967.44

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Solution

The fourth proportional to 8,348.64, 12,512.16 and 3,967.44 is: 5,946.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348.64 : 12,512.16 = 3,967.44 : x
  2. Step 2: Convert to fraction form
    8,348.64/12,512.16 = 3,967.44/x
  3. Step 3: Cross multiply
    8,348.64x = 12,512.16 × 3,967.44
  4. Step 4: Simplify right side
    8,348.64x = 49,641,244.07
  5. Step 5: Solve for x
    x = 49,641,244.07/8,348.64
  6. Step 6: Final answer
    x = 5,946.03

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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.