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Finding the Fourth Proportional to 8,161.42, 12,230.69 and 3,475.09

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Solution

The fourth proportional to 8,161.42, 12,230.69 and 3,475.09 is: 5,207.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.42 : 12,230.69 = 3,475.09 : x
  2. Step 2: Convert to fraction form
    8,161.42/12,230.69 = 3,475.09/x
  3. Step 3: Cross multiply
    8,161.42x = 12,230.69 × 3,475.09
  4. Step 4: Simplify right side
    8,161.42x = 42,502,748.51
  5. Step 5: Solve for x
    x = 42,502,748.51/8,161.42
  6. Step 6: Final answer
    x = 5,207.76

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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.