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Finding the Fourth Proportional to 8,215.98, 12,325.20 and 2,667.48

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Solution

The fourth proportional to 8,215.98, 12,325.20 and 2,667.48 is: 4,001.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.98 : 12,325.20 = 2,667.48 : x
  2. Step 2: Convert to fraction form
    8,215.98/12,325.20 = 2,667.48/x
  3. Step 3: Cross multiply
    8,215.98x = 12,325.20 × 2,667.48
  4. Step 4: Simplify right side
    8,215.98x = 32,877,224.50
  5. Step 5: Solve for x
    x = 32,877,224.50/8,215.98
  6. Step 6: Final answer
    x = 4,001.62

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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.