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Finding the Fourth Proportional to 11,422.84, 17,134.26 and 3,102.86

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Solution

The fourth proportional to 11,422.84, 17,134.26 and 3,102.86 is: 4,654.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.84 : 17,134.26 = 3,102.86 : x
  2. Step 2: Convert to fraction form
    11,422.84/17,134.26 = 3,102.86/x
  3. Step 3: Cross multiply
    11,422.84x = 17,134.26 × 3,102.86
  4. Step 4: Simplify right side
    11,422.84x = 53,165,209.98
  5. Step 5: Solve for x
    x = 53,165,209.98/11,422.84
  6. Step 6: Final answer
    x = 4,654.29

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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.