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Finding the Fourth Proportional to 7,366.50, 11,042.46 and 3,463.92

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Solution

The fourth proportional to 7,366.50, 11,042.46 and 3,463.92 is: 5,192.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,366.50 : 11,042.46 = 3,463.92 : x
  2. Step 2: Convert to fraction form
    7,366.50/11,042.46 = 3,463.92/x
  3. Step 3: Cross multiply
    7,366.50x = 11,042.46 × 3,463.92
  4. Step 4: Simplify right side
    7,366.50x = 38,250,198.04
  5. Step 5: Solve for x
    x = 38,250,198.04/7,366.50
  6. Step 6: Final answer
    x = 5,192.45

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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.