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Finding the Fourth Proportional to 7,729.32, 11,593.50 and 2,257.32

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Solution

The fourth proportional to 7,729.32, 11,593.50 and 2,257.32 is: 3,385.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.32 : 11,593.50 = 2,257.32 : x
  2. Step 2: Convert to fraction form
    7,729.32/11,593.50 = 2,257.32/x
  3. Step 3: Cross multiply
    7,729.32x = 11,593.50 × 2,257.32
  4. Step 4: Simplify right side
    7,729.32x = 26,170,239.42
  5. Step 5: Solve for x
    x = 26,170,239.42/7,729.32
  6. Step 6: Final answer
    x = 3,385.84

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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.