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Finding the Fourth Proportional to 6,812.25, 10,212.81 and 3,526.29

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Solution

The fourth proportional to 6,812.25, 10,212.81 and 3,526.29 is: 5,286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.25 : 10,212.81 = 3,526.29 : x
  2. Step 2: Convert to fraction form
    6,812.25/10,212.81 = 3,526.29/x
  3. Step 3: Cross multiply
    6,812.25x = 10,212.81 × 3,526.29
  4. Step 4: Simplify right side
    6,812.25x = 36,013,329.77
  5. Step 5: Solve for x
    x = 36,013,329.77/6,812.25
  6. Step 6: Final answer
    x = 5,286.55

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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.