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Finding the Fourth Proportional to 8,571.70, 12,857.58 and 3,022.03

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Solution

The fourth proportional to 8,571.70, 12,857.58 and 3,022.03 is: 4,533.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.70 : 12,857.58 = 3,022.03 : x
  2. Step 2: Convert to fraction form
    8,571.70/12,857.58 = 3,022.03/x
  3. Step 3: Cross multiply
    8,571.70x = 12,857.58 × 3,022.03
  4. Step 4: Simplify right side
    8,571.70x = 38,855,992.49
  5. Step 5: Solve for x
    x = 38,855,992.49/8,571.70
  6. Step 6: Final answer
    x = 4,533.06

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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.