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Finding the Fourth Proportional to 7,616.62, 11,426.10 and 2,422

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Solution

The fourth proportional to 7,616.62, 11,426.10 and 2,422 is: 3,633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.62 : 11,426.10 = 2,422 : x
  2. Step 2: Convert to fraction form
    7,616.62/11,426.10 = 2,422/x
  3. Step 3: Cross multiply
    7,616.62x = 11,426.10 × 2,422
  4. Step 4: Simplify right side
    7,616.62x = 27,674,014.20
  5. Step 5: Solve for x
    x = 27,674,014.20/7,616.62
  6. Step 6: Final answer
    x = 3,633.37

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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.