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Finding the Fourth Proportional to 8,085.76, 12,131.60 and 3,406.94

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Solution

The fourth proportional to 8,085.76, 12,131.60 and 3,406.94 is: 5,111.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085.76 : 12,131.60 = 3,406.94 : x
  2. Step 2: Convert to fraction form
    8,085.76/12,131.60 = 3,406.94/x
  3. Step 3: Cross multiply
    8,085.76x = 12,131.60 × 3,406.94
  4. Step 4: Simplify right side
    8,085.76x = 41,331,633.30
  5. Step 5: Solve for x
    x = 41,331,633.30/8,085.76
  6. Step 6: Final answer
    x = 5,111.66

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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.