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Finding the Fourth Proportional to 11,492.22, 17,238.40 and 4,096.98

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Solution

The fourth proportional to 11,492.22, 17,238.40 and 4,096.98 is: 6,145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.22 : 17,238.40 = 4,096.98 : x
  2. Step 2: Convert to fraction form
    11,492.22/17,238.40 = 4,096.98/x
  3. Step 3: Cross multiply
    11,492.22x = 17,238.40 × 4,096.98
  4. Step 4: Simplify right side
    11,492.22x = 70,625,380.03
  5. Step 5: Solve for x
    x = 70,625,380.03/11,492.22
  6. Step 6: Final answer
    x = 6,145.49

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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.