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Finding the Fourth Proportional to 8,134.09, 12,199.10 and 3,452.69

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Solution

The fourth proportional to 8,134.09, 12,199.10 and 3,452.69 is: 5,178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.09 : 12,199.10 = 3,452.69 : x
  2. Step 2: Convert to fraction form
    8,134.09/12,199.10 = 3,452.69/x
  3. Step 3: Cross multiply
    8,134.09x = 12,199.10 × 3,452.69
  4. Step 4: Simplify right side
    8,134.09x = 42,119,723.81
  5. Step 5: Solve for x
    x = 42,119,723.81/8,134.09
  6. Step 6: Final answer
    x = 5,178.17

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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.