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Finding the Fourth Proportional to 10,422.42, 15,633.72 and 3,496.92

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Solution

The fourth proportional to 10,422.42, 15,633.72 and 3,496.92 is: 5,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.42 : 15,633.72 = 3,496.92 : x
  2. Step 2: Convert to fraction form
    10,422.42/15,633.72 = 3,496.92/x
  3. Step 3: Cross multiply
    10,422.42x = 15,633.72 × 3,496.92
  4. Step 4: Simplify right side
    10,422.42x = 54,669,868.14
  5. Step 5: Solve for x
    x = 54,669,868.14/10,422.42
  6. Step 6: Final answer
    x = 5,245.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.