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Finding the Fourth Proportional to 11,892.42, 17,832.96 and 4,871.34

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Solution

The fourth proportional to 11,892.42, 17,832.96 and 4,871.34 is: 7,304.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.42 : 17,832.96 = 4,871.34 : x
  2. Step 2: Convert to fraction form
    11,892.42/17,832.96 = 4,871.34/x
  3. Step 3: Cross multiply
    11,892.42x = 17,832.96 × 4,871.34
  4. Step 4: Simplify right side
    11,892.42x = 86,870,411.37
  5. Step 5: Solve for x
    x = 86,870,411.37/11,892.42
  6. Step 6: Final answer
    x = 7,304.69

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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.