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Finding the Fourth Proportional to 7,332.80, 10,983.22 and 3,812.18

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Solution

The fourth proportional to 7,332.80, 10,983.22 and 3,812.18 is: 5,709.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,332.80 : 10,983.22 = 3,812.18 : x
  2. Step 2: Convert to fraction form
    7,332.80/10,983.22 = 3,812.18/x
  3. Step 3: Cross multiply
    7,332.80x = 10,983.22 × 3,812.18
  4. Step 4: Simplify right side
    7,332.80x = 41,870,011.62
  5. Step 5: Solve for x
    x = 41,870,011.62/7,332.80
  6. Step 6: Final answer
    x = 5,709.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.