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Finding the Fourth Proportional to 11,956, 17,940.48 and 5,800

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Solution

The fourth proportional to 11,956, 17,940.48 and 5,800 is: 8,703.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,956 : 17,940.48 = 5,800 : x
  2. Step 2: Convert to fraction form
    11,956/17,940.48 = 5,800/x
  3. Step 3: Cross multiply
    11,956x = 17,940.48 × 5,800
  4. Step 4: Simplify right side
    11,956x = 104,054,784
  5. Step 5: Solve for x
    x = 104,054,784/11,956
  6. Step 6: Final answer
    x = 8,703.14

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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.