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Finding the Fourth Proportional to 7,609.98, 11,415 and 2,344.95

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Solution

The fourth proportional to 7,609.98, 11,415 and 2,344.95 is: 3,517.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.98 : 11,415 = 2,344.95 : x
  2. Step 2: Convert to fraction form
    7,609.98/11,415 = 2,344.95/x
  3. Step 3: Cross multiply
    7,609.98x = 11,415 × 2,344.95
  4. Step 4: Simplify right side
    7,609.98x = 26,767,604.25
  5. Step 5: Solve for x
    x = 26,767,604.25/7,609.98
  6. Step 6: Final answer
    x = 3,517.43

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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.