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Finding the Fourth Proportional to 7,381.44, 11,072.08 and 1,834.68

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Solution

The fourth proportional to 7,381.44, 11,072.08 and 1,834.68 is: 2,752.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.44 : 11,072.08 = 1,834.68 : x
  2. Step 2: Convert to fraction form
    7,381.44/11,072.08 = 1,834.68/x
  3. Step 3: Cross multiply
    7,381.44x = 11,072.08 × 1,834.68
  4. Step 4: Simplify right side
    7,381.44x = 20,313,723.73
  5. Step 5: Solve for x
    x = 20,313,723.73/7,381.44
  6. Step 6: Final answer
    x = 2,752.00

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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.