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Finding the Fourth Proportional to 11,446.31, 17,170.79 and 4,051.42

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Solution

The fourth proportional to 11,446.31, 17,170.79 and 4,051.42 is: 6,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.31 : 17,170.79 = 4,051.42 : x
  2. Step 2: Convert to fraction form
    11,446.31/17,170.79 = 4,051.42/x
  3. Step 3: Cross multiply
    11,446.31x = 17,170.79 × 4,051.42
  4. Step 4: Simplify right side
    11,446.31x = 69,566,018.84
  5. Step 5: Solve for x
    x = 69,566,018.84/11,446.31
  6. Step 6: Final answer
    x = 6,077.59

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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.