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Finding the Fourth Proportional to 8,576.49, 12,857.34 and 3,315.20

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Solution

The fourth proportional to 8,576.49, 12,857.34 and 3,315.20 is: 4,969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.49 : 12,857.34 = 3,315.20 : x
  2. Step 2: Convert to fraction form
    8,576.49/12,857.34 = 3,315.20/x
  3. Step 3: Cross multiply
    8,576.49x = 12,857.34 × 3,315.20
  4. Step 4: Simplify right side
    8,576.49x = 42,624,589.28
  5. Step 5: Solve for x
    x = 42,624,589.28/8,576.49
  6. Step 6: Final answer
    x = 4,969.93

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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.