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Finding the Fourth Proportional to 8,065.69, 12,097.86 and 3,682.81

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Solution

The fourth proportional to 8,065.69, 12,097.86 and 3,682.81 is: 5,523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.69 : 12,097.86 = 3,682.81 : x
  2. Step 2: Convert to fraction form
    8,065.69/12,097.86 = 3,682.81/x
  3. Step 3: Cross multiply
    8,065.69x = 12,097.86 × 3,682.81
  4. Step 4: Simplify right side
    8,065.69x = 44,554,119.79
  5. Step 5: Solve for x
    x = 44,554,119.79/8,065.69
  6. Step 6: Final answer
    x = 5,523.91

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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.