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Finding the Fourth Proportional to 7,611.98, 11,418 and 2,346.95

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Solution

The fourth proportional to 7,611.98, 11,418 and 2,346.95 is: 3,520.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,611.98 : 11,418 = 2,346.95 : x
  2. Step 2: Convert to fraction form
    7,611.98/11,418 = 2,346.95/x
  3. Step 3: Cross multiply
    7,611.98x = 11,418 × 2,346.95
  4. Step 4: Simplify right side
    7,611.98x = 26,797,475.10
  5. Step 5: Solve for x
    x = 26,797,475.10/7,611.98
  6. Step 6: Final answer
    x = 3,520.43

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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.