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Finding the Fourth Proportional to 10,432.80, 15,644.16 and 3,855.60

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Solution

The fourth proportional to 10,432.80, 15,644.16 and 3,855.60 is: 5,781.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.80 : 15,644.16 = 3,855.60 : x
  2. Step 2: Convert to fraction form
    10,432.80/15,644.16 = 3,855.60/x
  3. Step 3: Cross multiply
    10,432.80x = 15,644.16 × 3,855.60
  4. Step 4: Simplify right side
    10,432.80x = 60,317,623.30
  5. Step 5: Solve for x
    x = 60,317,623.30/10,432.80
  6. Step 6: Final answer
    x = 5,781.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.