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Finding the Fourth Proportional to 11,853.49, 17,778.39 and 3,956.14

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Solution

The fourth proportional to 11,853.49, 17,778.39 and 3,956.14 is: 5,933.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.49 : 17,778.39 = 3,956.14 : x
  2. Step 2: Convert to fraction form
    11,853.49/17,778.39 = 3,956.14/x
  3. Step 3: Cross multiply
    11,853.49x = 17,778.39 × 3,956.14
  4. Step 4: Simplify right side
    11,853.49x = 70,333,807.20
  5. Step 5: Solve for x
    x = 70,333,807.20/11,853.49
  6. Step 6: Final answer
    x = 5,933.60

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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.