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Finding the Fourth Proportional to 7,591.29, 11,392.08 and 2,661

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Solution

The fourth proportional to 7,591.29, 11,392.08 and 2,661 is: 3,993.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.29 : 11,392.08 = 2,661 : x
  2. Step 2: Convert to fraction form
    7,591.29/11,392.08 = 2,661/x
  3. Step 3: Cross multiply
    7,591.29x = 11,392.08 × 2,661
  4. Step 4: Simplify right side
    7,591.29x = 30,314,324.88
  5. Step 5: Solve for x
    x = 30,314,324.88/7,591.29
  6. Step 6: Final answer
    x = 3,993.30

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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.