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Finding the Fourth Proportional to 11,846.68, 17,764.06 and 3,946.40

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Solution

The fourth proportional to 11,846.68, 17,764.06 and 3,946.40 is: 5,917.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.68 : 17,764.06 = 3,946.40 : x
  2. Step 2: Convert to fraction form
    11,846.68/17,764.06 = 3,946.40/x
  3. Step 3: Cross multiply
    11,846.68x = 17,764.06 × 3,946.40
  4. Step 4: Simplify right side
    11,846.68x = 70,104,011.75
  5. Step 5: Solve for x
    x = 70,104,011.75/11,846.68
  6. Step 6: Final answer
    x = 5,917.61

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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.