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Finding the Fourth Proportional to 11,860.95, 17,754.51 and 7,469.18

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Solution

The fourth proportional to 11,860.95, 17,754.51 and 7,469.18 is: 11,180.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860.95 : 17,754.51 = 7,469.18 : x
  2. Step 2: Convert to fraction form
    11,860.95/17,754.51 = 7,469.18/x
  3. Step 3: Cross multiply
    11,860.95x = 17,754.51 × 7,469.18
  4. Step 4: Simplify right side
    11,860.95x = 132,611,542.23
  5. Step 5: Solve for x
    x = 132,611,542.23/11,860.95
  6. Step 6: Final answer
    x = 11,180.52

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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.