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Finding the Fourth Proportional to 8,112.81, 12,169.55 and 2,566.26

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Solution

The fourth proportional to 8,112.81, 12,169.55 and 2,566.26 is: 3,849.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.81 : 12,169.55 = 2,566.26 : x
  2. Step 2: Convert to fraction form
    8,112.81/12,169.55 = 2,566.26/x
  3. Step 3: Cross multiply
    8,112.81x = 12,169.55 × 2,566.26
  4. Step 4: Simplify right side
    8,112.81x = 31,230,216.55
  5. Step 5: Solve for x
    x = 31,230,216.55/8,112.81
  6. Step 6: Final answer
    x = 3,849.49

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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.