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Finding the Fourth Proportional to 6,807.57, 10,206.61 and 3,476.84

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Solution

The fourth proportional to 6,807.57, 10,206.61 and 3,476.84 is: 5,212.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.57 : 10,206.61 = 3,476.84 : x
  2. Step 2: Convert to fraction form
    6,807.57/10,206.61 = 3,476.84/x
  3. Step 3: Cross multiply
    6,807.57x = 10,206.61 × 3,476.84
  4. Step 4: Simplify right side
    6,807.57x = 35,486,704.54
  5. Step 5: Solve for x
    x = 35,486,704.54/6,807.57
  6. Step 6: Final answer
    x = 5,212.83

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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.