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Finding the Fourth Proportional to 8,561.37, 12,843.68 and 3,014.09

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Solution

The fourth proportional to 8,561.37, 12,843.68 and 3,014.09 is: 4,521.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.37 : 12,843.68 = 3,014.09 : x
  2. Step 2: Convert to fraction form
    8,561.37/12,843.68 = 3,014.09/x
  3. Step 3: Cross multiply
    8,561.37x = 12,843.68 × 3,014.09
  4. Step 4: Simplify right side
    8,561.37x = 38,712,007.45
  5. Step 5: Solve for x
    x = 38,712,007.45/8,561.37
  6. Step 6: Final answer
    x = 4,521.71

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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.