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Finding the Fourth Proportional to 10,324.80, 15,487.20 and 5,128.56

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Solution

The fourth proportional to 10,324.80, 15,487.20 and 5,128.56 is: 7,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.80 : 15,487.20 = 5,128.56 : x
  2. Step 2: Convert to fraction form
    10,324.80/15,487.20 = 5,128.56/x
  3. Step 3: Cross multiply
    10,324.80x = 15,487.20 × 5,128.56
  4. Step 4: Simplify right side
    10,324.80x = 79,427,034.43
  5. Step 5: Solve for x
    x = 79,427,034.43/10,324.80
  6. Step 6: Final answer
    x = 7,692.84

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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.