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Finding the Fourth Proportional to 8,821.60, 13,233.48 and 3,892.48

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Solution

The fourth proportional to 8,821.60, 13,233.48 and 3,892.48 is: 5,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.60 : 13,233.48 = 3,892.48 : x
  2. Step 2: Convert to fraction form
    8,821.60/13,233.48 = 3,892.48/x
  3. Step 3: Cross multiply
    8,821.60x = 13,233.48 × 3,892.48
  4. Step 4: Simplify right side
    8,821.60x = 51,511,056.23
  5. Step 5: Solve for x
    x = 51,511,056.23/8,821.60
  6. Step 6: Final answer
    x = 5,839.20

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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.