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Finding the Fourth Proportional to 11,894.40, 17,838.72 and 3,997.20

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Solution

The fourth proportional to 11,894.40, 17,838.72 and 3,997.20 is: 5,994.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.40 : 17,838.72 = 3,997.20 : x
  2. Step 2: Convert to fraction form
    11,894.40/17,838.72 = 3,997.20/x
  3. Step 3: Cross multiply
    11,894.40x = 17,838.72 × 3,997.20
  4. Step 4: Simplify right side
    11,894.40x = 71,304,931.58
  5. Step 5: Solve for x
    x = 71,304,931.58/11,894.40
  6. Step 6: Final answer
    x = 5,994.83

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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.