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Finding the Fourth Proportional to 8,707.82, 13,063.70 and 3,161.14

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Solution

The fourth proportional to 8,707.82, 13,063.70 and 3,161.14 is: 4,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,707.82 : 13,063.70 = 3,161.14 : x
  2. Step 2: Convert to fraction form
    8,707.82/13,063.70 = 3,161.14/x
  3. Step 3: Cross multiply
    8,707.82x = 13,063.70 × 3,161.14
  4. Step 4: Simplify right side
    8,707.82x = 41,296,168.81
  5. Step 5: Solve for x
    x = 41,296,168.81/8,707.82
  6. Step 6: Final answer
    x = 4,742.42

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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.