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Finding the Fourth Proportional to 8,571.24, 12,857.93 and 3,306.10

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Solution

The fourth proportional to 8,571.24, 12,857.93 and 3,306.10 is: 4,959.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.24 : 12,857.93 = 3,306.10 : x
  2. Step 2: Convert to fraction form
    8,571.24/12,857.93 = 3,306.10/x
  3. Step 3: Cross multiply
    8,571.24x = 12,857.93 × 3,306.10
  4. Step 4: Simplify right side
    8,571.24x = 42,509,602.37
  5. Step 5: Solve for x
    x = 42,509,602.37/8,571.24
  6. Step 6: Final answer
    x = 4,959.56

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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.