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Finding the Fourth Proportional to 10,512.96, 15,772.80 and 8,884.80

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Solution

The fourth proportional to 10,512.96, 15,772.80 and 8,884.80 is: 13,330.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.96 : 15,772.80 = 8,884.80 : x
  2. Step 2: Convert to fraction form
    10,512.96/15,772.80 = 8,884.80/x
  3. Step 3: Cross multiply
    10,512.96x = 15,772.80 × 8,884.80
  4. Step 4: Simplify right side
    10,512.96x = 140,138,173.44
  5. Step 5: Solve for x
    x = 140,138,173.44/10,512.96
  6. Step 6: Final answer
    x = 13,330.04

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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.