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Finding the Fourth Proportional to 11,904.32, 17,857.92 and 5,744

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Solution

The fourth proportional to 11,904.32, 17,857.92 and 5,744 is: 8,616.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.32 : 17,857.92 = 5,744 : x
  2. Step 2: Convert to fraction form
    11,904.32/17,857.92 = 5,744/x
  3. Step 3: Cross multiply
    11,904.32x = 17,857.92 × 5,744
  4. Step 4: Simplify right side
    11,904.32x = 102,575,892.48
  5. Step 5: Solve for x
    x = 102,575,892.48/11,904.32
  6. Step 6: Final answer
    x = 8,616.69

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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.