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Finding the Fourth Proportional to 11,425.95, 17,144.01 and 7,264.85

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Solution

The fourth proportional to 11,425.95, 17,144.01 and 7,264.85 is: 10,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,425.95 : 17,144.01 = 7,264.85 : x
  2. Step 2: Convert to fraction form
    11,425.95/17,144.01 = 7,264.85/x
  3. Step 3: Cross multiply
    11,425.95x = 17,144.01 × 7,264.85
  4. Step 4: Simplify right side
    11,425.95x = 124,548,575.33
  5. Step 5: Solve for x
    x = 124,548,575.33/11,425.95
  6. Step 6: Final answer
    x = 10,900.50

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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.