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Finding the Fourth Proportional to 7,606.97, 11,411.72 and 2,414.09

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Solution

The fourth proportional to 7,606.97, 11,411.72 and 2,414.09 is: 3,621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.97 : 11,411.72 = 2,414.09 : x
  2. Step 2: Convert to fraction form
    7,606.97/11,411.72 = 2,414.09/x
  3. Step 3: Cross multiply
    7,606.97x = 11,411.72 × 2,414.09
  4. Step 4: Simplify right side
    7,606.97x = 27,548,907.06
  5. Step 5: Solve for x
    x = 27,548,907.06/7,606.97
  6. Step 6: Final answer
    x = 3,621.53

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