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Finding the Fourth Proportional to 7,611.66, 11,418 and 2,932.14

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Solution

The fourth proportional to 7,611.66, 11,418 and 2,932.14 is: 4,398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,611.66 : 11,418 = 2,932.14 : x
  2. Step 2: Convert to fraction form
    7,611.66/11,418 = 2,932.14/x
  3. Step 3: Cross multiply
    7,611.66x = 11,418 × 2,932.14
  4. Step 4: Simplify right side
    7,611.66x = 33,479,174.52
  5. Step 5: Solve for x
    x = 33,479,174.52/7,611.66
  6. Step 6: Final answer
    x = 4,398.41

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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.