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Finding the Fourth Proportional to 8,638.03, 12,962.31 and 3,443.50

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Solution

The fourth proportional to 8,638.03, 12,962.31 and 3,443.50 is: 5,167.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.03 : 12,962.31 = 3,443.50 : x
  2. Step 2: Convert to fraction form
    8,638.03/12,962.31 = 3,443.50/x
  3. Step 3: Cross multiply
    8,638.03x = 12,962.31 × 3,443.50
  4. Step 4: Simplify right side
    8,638.03x = 44,635,714.49
  5. Step 5: Solve for x
    x = 44,635,714.49/8,638.03
  6. Step 6: Final answer
    x = 5,167.35

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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.