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Finding the Fourth Proportional to 8,213.52, 12,322.20 and 2,666.88

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Solution

The fourth proportional to 8,213.52, 12,322.20 and 2,666.88 is: 4,000.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.52 : 12,322.20 = 2,666.88 : x
  2. Step 2: Convert to fraction form
    8,213.52/12,322.20 = 2,666.88/x
  3. Step 3: Cross multiply
    8,213.52x = 12,322.20 × 2,666.88
  4. Step 4: Simplify right side
    8,213.52x = 32,861,828.74
  5. Step 5: Solve for x
    x = 32,861,828.74/8,213.52
  6. Step 6: Final answer
    x = 4,000.94

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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.