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Finding the Fourth Proportional to 7,418.94, 11,131.50 and 3,256.80

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Solution

The fourth proportional to 7,418.94, 11,131.50 and 3,256.80 is: 4,886.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,418.94 : 11,131.50 = 3,256.80 : x
  2. Step 2: Convert to fraction form
    7,418.94/11,131.50 = 3,256.80/x
  3. Step 3: Cross multiply
    7,418.94x = 11,131.50 × 3,256.80
  4. Step 4: Simplify right side
    7,418.94x = 36,253,069.20
  5. Step 5: Solve for x
    x = 36,253,069.20/7,418.94
  6. Step 6: Final answer
    x = 4,886.56

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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.