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Finding the Fourth Proportional to 10,520.54, 15,772.96 and 6,359.60

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Solution

The fourth proportional to 10,520.54, 15,772.96 and 6,359.60 is: 9,534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.54 : 15,772.96 = 6,359.60 : x
  2. Step 2: Convert to fraction form
    10,520.54/15,772.96 = 6,359.60/x
  3. Step 3: Cross multiply
    10,520.54x = 15,772.96 × 6,359.60
  4. Step 4: Simplify right side
    10,520.54x = 100,309,716.42
  5. Step 5: Solve for x
    x = 100,309,716.42/10,520.54
  6. Step 6: Final answer
    x = 9,534.65

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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.