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Finding the Fourth Proportional to 11,852.10, 17,781.24 and 3,955.82

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Solution

The fourth proportional to 11,852.10, 17,781.24 and 3,955.82 is: 5,934.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.10 : 17,781.24 = 3,955.82 : x
  2. Step 2: Convert to fraction form
    11,852.10/17,781.24 = 3,955.82/x
  3. Step 3: Cross multiply
    11,852.10x = 17,781.24 × 3,955.82
  4. Step 4: Simplify right side
    11,852.10x = 70,339,384.82
  5. Step 5: Solve for x
    x = 70,339,384.82/11,852.10
  6. Step 6: Final answer
    x = 5,934.76

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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.