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Finding the Fourth Proportional to 8,093.96, 12,131.21 and 3,412.16

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Solution

The fourth proportional to 8,093.96, 12,131.21 and 3,412.16 is: 5,114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.96 : 12,131.21 = 3,412.16 : x
  2. Step 2: Convert to fraction form
    8,093.96/12,131.21 = 3,412.16/x
  3. Step 3: Cross multiply
    8,093.96x = 12,131.21 × 3,412.16
  4. Step 4: Simplify right side
    8,093.96x = 41,393,629.51
  5. Step 5: Solve for x
    x = 41,393,629.51/8,093.96
  6. Step 6: Final answer
    x = 5,114.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.