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Finding the Fourth Proportional to 10,563.48, 15,845.04 and 3,167.82

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Solution

The fourth proportional to 10,563.48, 15,845.04 and 3,167.82 is: 4,751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.48 : 15,845.04 = 3,167.82 : x
  2. Step 2: Convert to fraction form
    10,563.48/15,845.04 = 3,167.82/x
  3. Step 3: Cross multiply
    10,563.48x = 15,845.04 × 3,167.82
  4. Step 4: Simplify right side
    10,563.48x = 50,194,234.61
  5. Step 5: Solve for x
    x = 50,194,234.61/10,563.48
  6. Step 6: Final answer
    x = 4,751.68

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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.