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Finding the Fourth Proportional to 7,384.97, 11,073.31 and 2,451.97

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Solution

The fourth proportional to 7,384.97, 11,073.31 and 2,451.97 is: 3,676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.97 : 11,073.31 = 2,451.97 : x
  2. Step 2: Convert to fraction form
    7,384.97/11,073.31 = 2,451.97/x
  3. Step 3: Cross multiply
    7,384.97x = 11,073.31 × 2,451.97
  4. Step 4: Simplify right side
    7,384.97x = 27,151,431.63
  5. Step 5: Solve for x
    x = 27,151,431.63/7,384.97
  6. Step 6: Final answer
    x = 3,676.58

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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.