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Finding the Fourth Proportional to 8,741.16, 13,114.17 and 3,811.23

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Solution

The fourth proportional to 8,741.16, 13,114.17 and 3,811.23 is: 5,717.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,741.16 : 13,114.17 = 3,811.23 : x
  2. Step 2: Convert to fraction form
    8,741.16/13,114.17 = 3,811.23/x
  3. Step 3: Cross multiply
    8,741.16x = 13,114.17 × 3,811.23
  4. Step 4: Simplify right side
    8,741.16x = 49,981,118.13
  5. Step 5: Solve for x
    x = 49,981,118.13/8,741.16
  6. Step 6: Final answer
    x = 5,717.90

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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.