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Finding the Fourth Proportional to 8,105.71, 12,156.82 and 2,559.49

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Solution

The fourth proportional to 8,105.71, 12,156.82 and 2,559.49 is: 3,838.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.71 : 12,156.82 = 2,559.49 : x
  2. Step 2: Convert to fraction form
    8,105.71/12,156.82 = 2,559.49/x
  3. Step 3: Cross multiply
    8,105.71x = 12,156.82 × 2,559.49
  4. Step 4: Simplify right side
    8,105.71x = 31,115,259.22
  5. Step 5: Solve for x
    x = 31,115,259.22/8,105.71
  6. Step 6: Final answer
    x = 3,838.68

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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.