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Finding the Fourth Proportional to 8,509.32, 12,757.10 and 3,825.90

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Solution

The fourth proportional to 8,509.32, 12,757.10 and 3,825.90 is: 5,735.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.32 : 12,757.10 = 3,825.90 : x
  2. Step 2: Convert to fraction form
    8,509.32/12,757.10 = 3,825.90/x
  3. Step 3: Cross multiply
    8,509.32x = 12,757.10 × 3,825.90
  4. Step 4: Simplify right side
    8,509.32x = 48,807,369.76
  5. Step 5: Solve for x
    x = 48,807,369.76/8,509.32
  6. Step 6: Final answer
    x = 5,735.75

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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.