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Finding the Fourth Proportional to 8,359.34, 11,523.68 and 6,366.44

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Solution

The fourth proportional to 8,359.34, 11,523.68 and 6,366.44 is: 8,776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,359.34 : 11,523.68 = 6,366.44 : x
  2. Step 2: Convert to fraction form
    8,359.34/11,523.68 = 6,366.44/x
  3. Step 3: Cross multiply
    8,359.34x = 11,523.68 × 6,366.44
  4. Step 4: Simplify right side
    8,359.34x = 73,364,817.30
  5. Step 5: Solve for x
    x = 73,364,817.30/8,359.34
  6. Step 6: Final answer
    x = 8,776.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.