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Finding the Fourth Proportional to 8,809.74, 13,202.70 and 3,257.88

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Solution

The fourth proportional to 8,809.74, 13,202.70 and 3,257.88 is: 4,882.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,809.74 : 13,202.70 = 3,257.88 : x
  2. Step 2: Convert to fraction form
    8,809.74/13,202.70 = 3,257.88/x
  3. Step 3: Cross multiply
    8,809.74x = 13,202.70 × 3,257.88
  4. Step 4: Simplify right side
    8,809.74x = 43,012,812.28
  5. Step 5: Solve for x
    x = 43,012,812.28/8,809.74
  6. Step 6: Final answer
    x = 4,882.42

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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.