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Finding the Fourth Proportional to 6,812.16, 10,209.52 and 3,524.64

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Solution

The fourth proportional to 6,812.16, 10,209.52 and 3,524.64 is: 5,282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.16 : 10,209.52 = 3,524.64 : x
  2. Step 2: Convert to fraction form
    6,812.16/10,209.52 = 3,524.64/x
  3. Step 3: Cross multiply
    6,812.16x = 10,209.52 × 3,524.64
  4. Step 4: Simplify right side
    6,812.16x = 35,984,882.57
  5. Step 5: Solve for x
    x = 35,984,882.57/6,812.16
  6. Step 6: Final answer
    x = 5,282.45

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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.