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Finding the Fourth Proportional to 8,571.29, 12,857.94 and 3,305.07

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Solution

The fourth proportional to 8,571.29, 12,857.94 and 3,305.07 is: 4,958.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.29 : 12,857.94 = 3,305.07 : x
  2. Step 2: Convert to fraction form
    8,571.29/12,857.94 = 3,305.07/x
  3. Step 3: Cross multiply
    8,571.29x = 12,857.94 × 3,305.07
  4. Step 4: Simplify right side
    8,571.29x = 42,496,391.76
  5. Step 5: Solve for x
    x = 42,496,391.76/8,571.29
  6. Step 6: Final answer
    x = 4,958.00

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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.