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Finding the Fourth Proportional to 7,469.63, 11,204.43 and 2,790

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Solution

The fourth proportional to 7,469.63, 11,204.43 and 2,790 is: 4,185.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.63 : 11,204.43 = 2,790 : x
  2. Step 2: Convert to fraction form
    7,469.63/11,204.43 = 2,790/x
  3. Step 3: Cross multiply
    7,469.63x = 11,204.43 × 2,790
  4. Step 4: Simplify right side
    7,469.63x = 31,260,359.70
  5. Step 5: Solve for x
    x = 31,260,359.70/7,469.63
  6. Step 6: Final answer
    x = 4,185.00

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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.