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Finding the Fourth Proportional to 8,245.68, 12,371.98 and 3,563.28

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Solution

The fourth proportional to 8,245.68, 12,371.98 and 3,563.28 is: 5,346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245.68 : 12,371.98 = 3,563.28 : x
  2. Step 2: Convert to fraction form
    8,245.68/12,371.98 = 3,563.28/x
  3. Step 3: Cross multiply
    8,245.68x = 12,371.98 × 3,563.28
  4. Step 4: Simplify right side
    8,245.68x = 44,084,828.89
  5. Step 5: Solve for x
    x = 44,084,828.89/8,245.68
  6. Step 6: Final answer
    x = 5,346.42

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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.